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Finding the Fourth Proportional to 31,408.70, 47,098.20 and 18,265.10

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Solution

The fourth proportional to 31,408.70, 47,098.20 and 18,265.10 is: 27,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.70 : 47,098.20 = 18,265.10 : x
  2. Step 2: Convert to fraction form
    31,408.70/47,098.20 = 18,265.10/x
  3. Step 3: Cross multiply
    31,408.70x = 47,098.20 × 18,265.10
  4. Step 4: Simplify right side
    31,408.70x = 860,253,332.82
  5. Step 5: Solve for x
    x = 860,253,332.82/31,408.70
  6. Step 6: Final answer
    x = 27,389.01

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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.