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Finding the Fourth Proportional to 31,598.88, 47,398.19 and 8,225.25

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Solution

The fourth proportional to 31,598.88, 47,398.19 and 8,225.25 is: 12,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.88 : 47,398.19 = 8,225.25 : x
  2. Step 2: Convert to fraction form
    31,598.88/47,398.19 = 8,225.25/x
  3. Step 3: Cross multiply
    31,598.88x = 47,398.19 × 8,225.25
  4. Step 4: Simplify right side
    31,598.88x = 389,861,921.17
  5. Step 5: Solve for x
    x = 389,861,921.17/31,598.88
  6. Step 6: Final answer
    x = 12,337.84

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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.