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Finding the Fourth Proportional to 123,542.13, 185,359.32 and 48,714.44

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Solution

The fourth proportional to 123,542.13, 185,359.32 and 48,714.44 is: 73,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,542.13 : 185,359.32 = 48,714.44 : x
  2. Step 2: Convert to fraction form
    123,542.13/185,359.32 = 48,714.44/x
  3. Step 3: Cross multiply
    123,542.13x = 185,359.32 × 48,714.44
  4. Step 4: Simplify right side
    123,542.13x = 9,029,675,067.11
  5. Step 5: Solve for x
    x = 9,029,675,067.11/123,542.13
  6. Step 6: Final answer
    x = 73,089.85

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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.