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Finding the Fourth Proportional to 31,098.46, 42,915.61 and 16,951

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Solution

The fourth proportional to 31,098.46, 42,915.61 and 16,951 is: 23,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.46 : 42,915.61 = 16,951 : x
  2. Step 2: Convert to fraction form
    31,098.46/42,915.61 = 16,951/x
  3. Step 3: Cross multiply
    31,098.46x = 42,915.61 × 16,951
  4. Step 4: Simplify right side
    31,098.46x = 727,462,505.11
  5. Step 5: Solve for x
    x = 727,462,505.11/31,098.46
  6. Step 6: Final answer
    x = 23,392.24

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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.