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Finding the Fourth Proportional to 31,697.12, 47,542.04 and 8,325.40

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Solution

The fourth proportional to 31,697.12, 47,542.04 and 8,325.40 is: 12,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.12 : 47,542.04 = 8,325.40 : x
  2. Step 2: Convert to fraction form
    31,697.12/47,542.04 = 8,325.40/x
  3. Step 3: Cross multiply
    31,697.12x = 47,542.04 × 8,325.40
  4. Step 4: Simplify right side
    31,697.12x = 395,806,499.82
  5. Step 5: Solve for x
    x = 395,806,499.82/31,697.12
  6. Step 6: Final answer
    x = 12,487.14

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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.