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Finding the Fourth Proportional to 82,677.72, 114,147.90 and 54,432.12

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Solution

The fourth proportional to 82,677.72, 114,147.90 and 54,432.12 is: 75,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,677.72 : 114,147.90 = 54,432.12 : x
  2. Step 2: Convert to fraction form
    82,677.72/114,147.90 = 54,432.12/x
  3. Step 3: Cross multiply
    82,677.72x = 114,147.90 × 54,432.12
  4. Step 4: Simplify right side
    82,677.72x = 6,213,312,190.55
  5. Step 5: Solve for x
    x = 6,213,312,190.55/82,677.72
  6. Step 6: Final answer
    x = 75,150.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.