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Finding the Fourth Proportional to 31,605.60, 47,408.10 and 12,881.24

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Solution

The fourth proportional to 31,605.60, 47,408.10 and 12,881.24 is: 19,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.60 : 47,408.10 = 12,881.24 : x
  2. Step 2: Convert to fraction form
    31,605.60/47,408.10 = 12,881.24/x
  3. Step 3: Cross multiply
    31,605.60x = 47,408.10 × 12,881.24
  4. Step 4: Simplify right side
    31,605.60x = 610,675,114.04
  5. Step 5: Solve for x
    x = 610,675,114.04/31,605.60
  6. Step 6: Final answer
    x = 19,321.74

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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.