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Finding the Fourth Proportional to 32,681,490.40, 49,022,235.60 and 27,642,642.40

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Solution

The fourth proportional to 32,681,490.40, 49,022,235.60 and 27,642,642.40 is: 41,463,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681,490.40 : 49,022,235.60 = 27,642,642.40 : x
  2. Step 2: Convert to fraction form
    32,681,490.40/49,022,235.60 = 27,642,642.40/x
  3. Step 3: Cross multiply
    32,681,490.40x = 49,022,235.60 × 27,642,642.40
  4. Step 4: Simplify right side
    32,681,490.40x = 1,355,104,128,339,349.50
  5. Step 5: Solve for x
    x = 1,355,104,128,339,349.50/32,681,490.40
  6. Step 6: Final answer
    x = 41,463,963.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.