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Finding the Fourth Proportional to 47,633.80, 65,729.90 and 27,497.17

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Solution

The fourth proportional to 47,633.80, 65,729.90 and 27,497.17 is: 37,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,633.80 : 65,729.90 = 27,497.17 : x
  2. Step 2: Convert to fraction form
    47,633.80/65,729.90 = 27,497.17/x
  3. Step 3: Cross multiply
    47,633.80x = 65,729.90 × 27,497.17
  4. Step 4: Simplify right side
    47,633.80x = 1,807,386,234.38
  5. Step 5: Solve for x
    x = 1,807,386,234.38/47,633.80
  6. Step 6: Final answer
    x = 37,943.36

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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.