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Finding the Fourth Proportional to 52,727.92, 72,758.16 and 31,503.04

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Solution

The fourth proportional to 52,727.92, 72,758.16 and 31,503.04 is: 43,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,727.92 : 72,758.16 = 31,503.04 : x
  2. Step 2: Convert to fraction form
    52,727.92/72,758.16 = 31,503.04/x
  3. Step 3: Cross multiply
    52,727.92x = 72,758.16 × 31,503.04
  4. Step 4: Simplify right side
    52,727.92x = 2,292,103,224.81
  5. Step 5: Solve for x
    x = 2,292,103,224.81/52,727.92
  6. Step 6: Final answer
    x = 43,470.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.