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Finding the Fourth Proportional to 32,804.94, 49,165.86 and 20,954.16

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Solution

The fourth proportional to 32,804.94, 49,165.86 and 20,954.16 is: 31,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.94 : 49,165.86 = 20,954.16 : x
  2. Step 2: Convert to fraction form
    32,804.94/49,165.86 = 20,954.16/x
  3. Step 3: Cross multiply
    32,804.94x = 49,165.86 × 20,954.16
  4. Step 4: Simplify right side
    32,804.94x = 1,030,229,296.98
  5. Step 5: Solve for x
    x = 1,030,229,296.98/32,804.94
  6. Step 6: Final answer
    x = 31,404.70

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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.