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Finding the Fourth Proportional to 57,642.66, 86,352.12 and 37,861.20

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Solution

The fourth proportional to 57,642.66, 86,352.12 and 37,861.20 is: 56,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.66 : 86,352.12 = 37,861.20 : x
  2. Step 2: Convert to fraction form
    57,642.66/86,352.12 = 37,861.20/x
  3. Step 3: Cross multiply
    57,642.66x = 86,352.12 × 37,861.20
  4. Step 4: Simplify right side
    57,642.66x = 3,269,394,885.74
  5. Step 5: Solve for x
    x = 3,269,394,885.74/57,642.66
  6. Step 6: Final answer
    x = 56,718.32

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Why These Related Problems?

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