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Finding the Fourth Proportional to 38,471.76, 57,727.95 and 27,299.28

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Solution

The fourth proportional to 38,471.76, 57,727.95 and 27,299.28 is: 40,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.76 : 57,727.95 = 27,299.28 : x
  2. Step 2: Convert to fraction form
    38,471.76/57,727.95 = 27,299.28/x
  3. Step 3: Cross multiply
    38,471.76x = 57,727.95 × 27,299.28
  4. Step 4: Simplify right side
    38,471.76x = 1,575,931,752.74
  5. Step 5: Solve for x
    x = 1,575,931,752.74/38,471.76
  6. Step 6: Final answer
    x = 40,963.34

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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.