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Finding the Fourth Proportional to 47,920.40, 66,129.98 and 27,781.38

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Solution

The fourth proportional to 47,920.40, 66,129.98 and 27,781.38 is: 38,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920.40 : 66,129.98 = 27,781.38 : x
  2. Step 2: Convert to fraction form
    47,920.40/66,129.98 = 27,781.38/x
  3. Step 3: Cross multiply
    47,920.40x = 66,129.98 × 27,781.38
  4. Step 4: Simplify right side
    47,920.40x = 1,837,182,103.77
  5. Step 5: Solve for x
    x = 1,837,182,103.77/47,920.40
  6. Step 6: Final answer
    x = 38,338.20

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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.