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Finding the Fourth Proportional to 31,909.60, 44,034.06 and 17,762.14

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Solution

The fourth proportional to 31,909.60, 44,034.06 and 17,762.14 is: 24,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.60 : 44,034.06 = 17,762.14 : x
  2. Step 2: Convert to fraction form
    31,909.60/44,034.06 = 17,762.14/x
  3. Step 3: Cross multiply
    31,909.60x = 44,034.06 × 17,762.14
  4. Step 4: Simplify right side
    31,909.60x = 782,139,138.49
  5. Step 5: Solve for x
    x = 782,139,138.49/31,909.60
  6. Step 6: Final answer
    x = 24,511.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.