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Finding the Fourth Proportional to 31,098, 42,915.12 and 16,950.80

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Solution

The fourth proportional to 31,098, 42,915.12 and 16,950.80 is: 23,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098 : 42,915.12 = 16,950.80 : x
  2. Step 2: Convert to fraction form
    31,098/42,915.12 = 16,950.80/x
  3. Step 3: Cross multiply
    31,098x = 42,915.12 × 16,950.80
  4. Step 4: Simplify right side
    31,098x = 727,445,616.10
  5. Step 5: Solve for x
    x = 727,445,616.10/31,098
  6. Step 6: Final answer
    x = 23,392.04

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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.