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Finding the Fourth Proportional to 31,061.97, 42,866.03 and 17,633.61

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Solution

The fourth proportional to 31,061.97, 42,866.03 and 17,633.61 is: 24,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.97 : 42,866.03 = 17,633.61 : x
  2. Step 2: Convert to fraction form
    31,061.97/42,866.03 = 17,633.61/x
  3. Step 3: Cross multiply
    31,061.97x = 42,866.03 × 17,633.61
  4. Step 4: Simplify right side
    31,061.97x = 755,882,767.10
  5. Step 5: Solve for x
    x = 755,882,767.10/31,061.97
  6. Step 6: Final answer
    x = 24,334.67

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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.