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Finding the Fourth Proportional to 31,098.84, 42,916.32 and 16,951.68

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Solution

The fourth proportional to 31,098.84, 42,916.32 and 16,951.68 is: 23,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.84 : 42,916.32 = 16,951.68 : x
  2. Step 2: Convert to fraction form
    31,098.84/42,916.32 = 16,951.68/x
  3. Step 3: Cross multiply
    31,098.84x = 42,916.32 × 16,951.68
  4. Step 4: Simplify right side
    31,098.84x = 727,503,723.42
  5. Step 5: Solve for x
    x = 727,503,723.42/31,098.84
  6. Step 6: Final answer
    x = 23,393.28

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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.