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Finding the Fourth Proportional to 82,060.96, 123,033.12 and 42,092

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Solution

The fourth proportional to 82,060.96, 123,033.12 and 42,092 is: 63,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,060.96 : 123,033.12 = 42,092 : x
  2. Step 2: Convert to fraction form
    82,060.96/123,033.12 = 42,092/x
  3. Step 3: Cross multiply
    82,060.96x = 123,033.12 × 42,092
  4. Step 4: Simplify right side
    82,060.96x = 5,178,710,087.04
  5. Step 5: Solve for x
    x = 5,178,710,087.04/82,060.96
  6. Step 6: Final answer
    x = 63,108.09

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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.