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Finding the Fourth Proportional to 31,511.42, 47,253.76 and 9,318.84

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Solution

The fourth proportional to 31,511.42, 47,253.76 and 9,318.84 is: 13,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.42 : 47,253.76 = 9,318.84 : x
  2. Step 2: Convert to fraction form
    31,511.42/47,253.76 = 9,318.84/x
  3. Step 3: Cross multiply
    31,511.42x = 47,253.76 × 9,318.84
  4. Step 4: Simplify right side
    31,511.42x = 440,349,992.57
  5. Step 5: Solve for x
    x = 440,349,992.57/31,511.42
  6. Step 6: Final answer
    x = 13,974.30

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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.