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Finding the Fourth Proportional to 61,825.38, 85,311.27 and 34,600.74

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Solution

The fourth proportional to 61,825.38, 85,311.27 and 34,600.74 is: 47,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,825.38 : 85,311.27 = 34,600.74 : x
  2. Step 2: Convert to fraction form
    61,825.38/85,311.27 = 34,600.74/x
  3. Step 3: Cross multiply
    61,825.38x = 85,311.27 × 34,600.74
  4. Step 4: Simplify right side
    61,825.38x = 2,951,833,072.34
  5. Step 5: Solve for x
    x = 2,951,833,072.34/61,825.38
  6. Step 6: Final answer
    x = 47,744.68

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Why These Related Problems?

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