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Finding the Fourth Proportional to 61,651.29, 92,403.08 and 31,634.72

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Solution

The fourth proportional to 61,651.29, 92,403.08 and 31,634.72 is: 47,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,651.29 : 92,403.08 = 31,634.72 : x
  2. Step 2: Convert to fraction form
    61,651.29/92,403.08 = 31,634.72/x
  3. Step 3: Cross multiply
    61,651.29x = 92,403.08 × 31,634.72
  4. Step 4: Simplify right side
    61,651.29x = 2,923,144,942.75
  5. Step 5: Solve for x
    x = 2,923,144,942.75/61,651.29
  6. Step 6: Final answer
    x = 47,414.17

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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.