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Finding the Fourth Proportional to 31,544.85, 47,309.17 and 9,353.18

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Solution

The fourth proportional to 31,544.85, 47,309.17 and 9,353.18 is: 14,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.85 : 47,309.17 = 9,353.18 : x
  2. Step 2: Convert to fraction form
    31,544.85/47,309.17 = 9,353.18/x
  3. Step 3: Cross multiply
    31,544.85x = 47,309.17 × 9,353.18
  4. Step 4: Simplify right side
    31,544.85x = 442,490,946.11
  5. Step 5: Solve for x
    x = 442,490,946.11/31,544.85
  6. Step 6: Final answer
    x = 14,027.36

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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.