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Finding the Fourth Proportional to 38,753.28, 53,465.78 and 25,332.28

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Solution

The fourth proportional to 38,753.28, 53,465.78 and 25,332.28 is: 34,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,753.28 : 53,465.78 = 25,332.28 : x
  2. Step 2: Convert to fraction form
    38,753.28/53,465.78 = 25,332.28/x
  3. Step 3: Cross multiply
    38,753.28x = 53,465.78 × 25,332.28
  4. Step 4: Simplify right side
    38,753.28x = 1,354,410,109.38
  5. Step 5: Solve for x
    x = 1,354,410,109.38/38,753.28
  6. Step 6: Final answer
    x = 34,949.56

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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.