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Finding the Fourth Proportional to 61,651.79, 92,403.82 and 31,635.22

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Solution

The fourth proportional to 61,651.79, 92,403.82 and 31,635.22 is: 47,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,651.79 : 92,403.82 = 31,635.22 : x
  2. Step 2: Convert to fraction form
    61,651.79/92,403.82 = 31,635.22/x
  3. Step 3: Cross multiply
    61,651.79x = 92,403.82 × 31,635.22
  4. Step 4: Simplify right side
    61,651.79x = 2,923,215,174.54
  5. Step 5: Solve for x
    x = 2,923,215,174.54/61,651.79
  6. Step 6: Final answer
    x = 47,414.93

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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.