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Finding the Fourth Proportional to 59,638.85, 82,302.26 and 32,414.93

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Solution

The fourth proportional to 59,638.85, 82,302.26 and 32,414.93 is: 44,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.85 : 82,302.26 = 32,414.93 : x
  2. Step 2: Convert to fraction form
    59,638.85/82,302.26 = 32,414.93/x
  3. Step 3: Cross multiply
    59,638.85x = 82,302.26 × 32,414.93
  4. Step 4: Simplify right side
    59,638.85x = 2,667,821,996.74
  5. Step 5: Solve for x
    x = 2,667,821,996.74/59,638.85
  6. Step 6: Final answer
    x = 44,732.96

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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.