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Finding the Fourth Proportional to 31,102.75, 42,920.18 and 17,672.14

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Solution

The fourth proportional to 31,102.75, 42,920.18 and 17,672.14 is: 24,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.75 : 42,920.18 = 17,672.14 : x
  2. Step 2: Convert to fraction form
    31,102.75/42,920.18 = 17,672.14/x
  3. Step 3: Cross multiply
    31,102.75x = 42,920.18 × 17,672.14
  4. Step 4: Simplify right side
    31,102.75x = 758,491,461.35
  5. Step 5: Solve for x
    x = 758,491,461.35/31,102.75
  6. Step 6: Final answer
    x = 24,386.64

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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.