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Finding the Fourth Proportional to 31,604.38, 47,411.16 and 12,885.56

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Solution

The fourth proportional to 31,604.38, 47,411.16 and 12,885.56 is: 19,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.38 : 47,411.16 = 12,885.56 : x
  2. Step 2: Convert to fraction form
    31,604.38/47,411.16 = 12,885.56/x
  3. Step 3: Cross multiply
    31,604.38x = 47,411.16 × 12,885.56
  4. Step 4: Simplify right side
    31,604.38x = 610,919,346.85
  5. Step 5: Solve for x
    x = 610,919,346.85/31,604.38
  6. Step 6: Final answer
    x = 19,330.21

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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.