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Finding the Fourth Proportional to 38,550.92, 53,209.17 and 25,098.77

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Solution

The fourth proportional to 38,550.92, 53,209.17 and 25,098.77 is: 34,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,550.92 : 53,209.17 = 25,098.77 : x
  2. Step 2: Convert to fraction form
    38,550.92/53,209.17 = 25,098.77/x
  3. Step 3: Cross multiply
    38,550.92x = 53,209.17 × 25,098.77
  4. Step 4: Simplify right side
    38,550.92x = 1,335,484,719.72
  5. Step 5: Solve for x
    x = 1,335,484,719.72/38,550.92
  6. Step 6: Final answer
    x = 34,642.10

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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.