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Finding the Fourth Proportional to 31,529.59, 47,294.18 and 9,343.08

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Solution

The fourth proportional to 31,529.59, 47,294.18 and 9,343.08 is: 14,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529.59 : 47,294.18 = 9,343.08 : x
  2. Step 2: Convert to fraction form
    31,529.59/47,294.18 = 9,343.08/x
  3. Step 3: Cross multiply
    31,529.59x = 47,294.18 × 9,343.08
  4. Step 4: Simplify right side
    31,529.59x = 441,873,295.60
  5. Step 5: Solve for x
    x = 441,873,295.60/31,529.59
  6. Step 6: Final answer
    x = 14,014.56

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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.