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Finding the Fourth Proportional to 31,497.61, 43,459.25 and 17,882.70

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Solution

The fourth proportional to 31,497.61, 43,459.25 and 17,882.70 is: 24,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.61 : 43,459.25 = 17,882.70 : x
  2. Step 2: Convert to fraction form
    31,497.61/43,459.25 = 17,882.70/x
  3. Step 3: Cross multiply
    31,497.61x = 43,459.25 × 17,882.70
  4. Step 4: Simplify right side
    31,497.61x = 777,168,846.03
  5. Step 5: Solve for x
    x = 777,168,846.03/31,497.61
  6. Step 6: Final answer
    x = 24,673.90

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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.