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Finding the Fourth Proportional to 49,802.40, 74,716.80 and 21,710.40

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Solution

The fourth proportional to 49,802.40, 74,716.80 and 21,710.40 is: 32,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802.40 : 74,716.80 = 21,710.40 : x
  2. Step 2: Convert to fraction form
    49,802.40/74,716.80 = 21,710.40/x
  3. Step 3: Cross multiply
    49,802.40x = 74,716.80 × 21,710.40
  4. Step 4: Simplify right side
    49,802.40x = 1,622,131,614.72
  5. Step 5: Solve for x
    x = 1,622,131,614.72/49,802.40
  6. Step 6: Final answer
    x = 32,571.35

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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.