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Finding the Fourth Proportional to 47,897.73, 66,098.84 and 27,766.29

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Solution

The fourth proportional to 47,897.73, 66,098.84 and 27,766.29 is: 38,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.73 : 66,098.84 = 27,766.29 : x
  2. Step 2: Convert to fraction form
    47,897.73/66,098.84 = 27,766.29/x
  3. Step 3: Cross multiply
    47,897.73x = 66,098.84 × 27,766.29
  4. Step 4: Simplify right side
    47,897.73x = 1,835,319,669.14
  5. Step 5: Solve for x
    x = 1,835,319,669.14/47,897.73
  6. Step 6: Final answer
    x = 38,317.47

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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.