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Finding the Fourth Proportional to 31,909.70, 44,034.96 and 17,762.55

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Solution

The fourth proportional to 31,909.70, 44,034.96 and 17,762.55 is: 24,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.70 : 44,034.96 = 17,762.55 : x
  2. Step 2: Convert to fraction form
    31,909.70/44,034.96 = 17,762.55/x
  3. Step 3: Cross multiply
    31,909.70x = 44,034.96 × 17,762.55
  4. Step 4: Simplify right side
    31,909.70x = 782,173,178.75
  5. Step 5: Solve for x
    x = 782,173,178.75/31,909.70
  6. Step 6: Final answer
    x = 24,512.08

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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.