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Finding the Fourth Proportional to 47,897.77, 66,098.88 and 27,766.31

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Solution

The fourth proportional to 47,897.77, 66,098.88 and 27,766.31 is: 38,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897.77 : 66,098.88 = 27,766.31 : x
  2. Step 2: Convert to fraction form
    47,897.77/66,098.88 = 27,766.31/x
  3. Step 3: Cross multiply
    47,897.77x = 66,098.88 × 27,766.31
  4. Step 4: Simplify right side
    47,897.77x = 1,835,321,992.73
  5. Step 5: Solve for x
    x = 1,835,321,992.73/47,897.77
  6. Step 6: Final answer
    x = 38,317.49

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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.