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Finding the Fourth Proportional to 31,500.96, 47,253.12 and 12,778.20

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Solution

The fourth proportional to 31,500.96, 47,253.12 and 12,778.20 is: 19,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.96 : 47,253.12 = 12,778.20 : x
  2. Step 2: Convert to fraction form
    31,500.96/47,253.12 = 12,778.20/x
  3. Step 3: Cross multiply
    31,500.96x = 47,253.12 × 12,778.20
  4. Step 4: Simplify right side
    31,500.96x = 603,809,817.98
  5. Step 5: Solve for x
    x = 603,809,817.98/31,500.96
  6. Step 6: Final answer
    x = 19,167.98

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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.