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Finding the Fourth Proportional to 38,646.97, 58,233.70 and 31,780.77

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Solution

The fourth proportional to 38,646.97, 58,233.70 and 31,780.77 is: 47,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.97 : 58,233.70 = 31,780.77 : x
  2. Step 2: Convert to fraction form
    38,646.97/58,233.70 = 31,780.77/x
  3. Step 3: Cross multiply
    38,646.97x = 58,233.70 × 31,780.77
  4. Step 4: Simplify right side
    38,646.97x = 1,850,711,963.62
  5. Step 5: Solve for x
    x = 1,850,711,963.62/38,646.97
  6. Step 6: Final answer
    x = 47,887.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.