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Finding the Fourth Proportional to 31,647.50, 47,459.90 and 9,456.74

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Solution

The fourth proportional to 31,647.50, 47,459.90 and 9,456.74 is: 14,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.50 : 47,459.90 = 9,456.74 : x
  2. Step 2: Convert to fraction form
    31,647.50/47,459.90 = 9,456.74/x
  3. Step 3: Cross multiply
    31,647.50x = 47,459.90 × 9,456.74
  4. Step 4: Simplify right side
    31,647.50x = 448,815,934.73
  5. Step 5: Solve for x
    x = 448,815,934.73/31,647.50
  6. Step 6: Final answer
    x = 14,181.72

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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.