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Finding the Fourth Proportional to 31,529.86, 43,503.68 and 17,914.97

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Solution

The fourth proportional to 31,529.86, 43,503.68 and 17,914.97 is: 24,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529.86 : 43,503.68 = 17,914.97 : x
  2. Step 2: Convert to fraction form
    31,529.86/43,503.68 = 17,914.97/x
  3. Step 3: Cross multiply
    31,529.86x = 43,503.68 × 17,914.97
  4. Step 4: Simplify right side
    31,529.86x = 779,367,275.64
  5. Step 5: Solve for x
    x = 779,367,275.64/31,529.86
  6. Step 6: Final answer
    x = 24,718.39

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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.