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Finding the Fourth Proportional to 38,229.84, 52,781.70 and 24,624

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Solution

The fourth proportional to 38,229.84, 52,781.70 and 24,624 is: 33,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.84 : 52,781.70 = 24,624 : x
  2. Step 2: Convert to fraction form
    38,229.84/52,781.70 = 24,624/x
  3. Step 3: Cross multiply
    38,229.84x = 52,781.70 × 24,624
  4. Step 4: Simplify right side
    38,229.84x = 1,299,696,580.80
  5. Step 5: Solve for x
    x = 1,299,696,580.80/38,229.84
  6. Step 6: Final answer
    x = 33,996.91

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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.