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Finding the Fourth Proportional to 47,691.88, 65,822.95 and 27,545.14

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Solution

The fourth proportional to 47,691.88, 65,822.95 and 27,545.14 is: 38,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.88 : 65,822.95 = 27,545.14 : x
  2. Step 2: Convert to fraction form
    47,691.88/65,822.95 = 27,545.14/x
  3. Step 3: Cross multiply
    47,691.88x = 65,822.95 × 27,545.14
  4. Step 4: Simplify right side
    47,691.88x = 1,813,102,235.24
  5. Step 5: Solve for x
    x = 1,813,102,235.24/47,691.88
  6. Step 6: Final answer
    x = 38,017.00

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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.