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Finding the Fourth Proportional to 31,313.61, 43,211.16 and 17,882.23

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Solution

The fourth proportional to 31,313.61, 43,211.16 and 17,882.23 is: 24,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.61 : 43,211.16 = 17,882.23 : x
  2. Step 2: Convert to fraction form
    31,313.61/43,211.16 = 17,882.23/x
  3. Step 3: Cross multiply
    31,313.61x = 43,211.16 × 17,882.23
  4. Step 4: Simplify right side
    31,313.61x = 772,711,901.69
  5. Step 5: Solve for x
    x = 772,711,901.69/31,313.61
  6. Step 6: Final answer
    x = 24,676.55

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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.