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Finding the Fourth Proportional to 31,785.30, 47,678.25 and 8,092.89

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Solution

The fourth proportional to 31,785.30, 47,678.25 and 8,092.89 is: 12,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.30 : 47,678.25 = 8,092.89 : x
  2. Step 2: Convert to fraction form
    31,785.30/47,678.25 = 8,092.89/x
  3. Step 3: Cross multiply
    31,785.30x = 47,678.25 × 8,092.89
  4. Step 4: Simplify right side
    31,785.30x = 385,854,832.64
  5. Step 5: Solve for x
    x = 385,854,832.64/31,785.30
  6. Step 6: Final answer
    x = 12,139.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.