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Finding the Fourth Proportional to 61,813.61, 92,758.49 and 24,367.31

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Solution

The fourth proportional to 61,813.61, 92,758.49 and 24,367.31 is: 36,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,813.61 : 92,758.49 = 24,367.31 : x
  2. Step 2: Convert to fraction form
    61,813.61/92,758.49 = 24,367.31/x
  3. Step 3: Cross multiply
    61,813.61x = 92,758.49 × 24,367.31
  4. Step 4: Simplify right side
    61,813.61x = 2,260,274,759.13
  5. Step 5: Solve for x
    x = 2,260,274,759.13/61,813.61
  6. Step 6: Final answer
    x = 36,565.97

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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.