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Finding the Fourth Proportional to 38,930, 58,400.76 and 18,142.16

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Solution

The fourth proportional to 38,930, 58,400.76 and 18,142.16 is: 27,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930 : 58,400.76 = 18,142.16 : x
  2. Step 2: Convert to fraction form
    38,930/58,400.76 = 18,142.16/x
  3. Step 3: Cross multiply
    38,930x = 58,400.76 × 18,142.16
  4. Step 4: Simplify right side
    38,930x = 1,059,515,932.04
  5. Step 5: Solve for x
    x = 1,059,515,932.04/38,930
  6. Step 6: Final answer
    x = 27,215.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.