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Finding the Fourth Proportional to 31,156, 42,994.68 and 17,008.96

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Solution

The fourth proportional to 31,156, 42,994.68 and 17,008.96 is: 23,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156 : 42,994.68 = 17,008.96 : x
  2. Step 2: Convert to fraction form
    31,156/42,994.68 = 17,008.96/x
  3. Step 3: Cross multiply
    31,156x = 42,994.68 × 17,008.96
  4. Step 4: Simplify right side
    31,156x = 731,294,792.33
  5. Step 5: Solve for x
    x = 731,294,792.33/31,156
  6. Step 6: Final answer
    x = 23,472.04

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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.