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Finding the Fourth Proportional to 39,649.59, 54,712.89 and 27,752.31

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Solution

The fourth proportional to 39,649.59, 54,712.89 and 27,752.31 is: 38,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649.59 : 54,712.89 = 27,752.31 : x
  2. Step 2: Convert to fraction form
    39,649.59/54,712.89 = 27,752.31/x
  3. Step 3: Cross multiply
    39,649.59x = 54,712.89 × 27,752.31
  4. Step 4: Simplify right side
    39,649.59x = 1,518,409,084.28
  5. Step 5: Solve for x
    x = 1,518,409,084.28/39,649.59
  6. Step 6: Final answer
    x = 38,295.71

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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.