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Finding the Fourth Proportional to 54,658.08, 82,026 and 42,190.56

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Solution

The fourth proportional to 54,658.08, 82,026 and 42,190.56 is: 63,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.08 : 82,026 = 42,190.56 : x
  2. Step 2: Convert to fraction form
    54,658.08/82,026 = 42,190.56/x
  3. Step 3: Cross multiply
    54,658.08x = 82,026 × 42,190.56
  4. Step 4: Simplify right side
    54,658.08x = 3,460,722,874.56
  5. Step 5: Solve for x
    x = 3,460,722,874.56/54,658.08
  6. Step 6: Final answer
    x = 63,315.85

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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.