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Finding the Fourth Proportional to 31,715.70, 43,726.17 and 27,287.02

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Solution

The fourth proportional to 31,715.70, 43,726.17 and 27,287.02 is: 37,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.70 : 43,726.17 = 27,287.02 : x
  2. Step 2: Convert to fraction form
    31,715.70/43,726.17 = 27,287.02/x
  3. Step 3: Cross multiply
    31,715.70x = 43,726.17 × 27,287.02
  4. Step 4: Simplify right side
    31,715.70x = 1,193,156,875.31
  5. Step 5: Solve for x
    x = 1,193,156,875.31/31,715.70
  6. Step 6: Final answer
    x = 37,620.39

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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.