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Finding the Fourth Proportional to 38,083.66, 57,125.48 and 10,381.66

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Solution

The fourth proportional to 38,083.66, 57,125.48 and 10,381.66 is: 15,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.66 : 57,125.48 = 10,381.66 : x
  2. Step 2: Convert to fraction form
    38,083.66/57,125.48 = 10,381.66/x
  3. Step 3: Cross multiply
    38,083.66x = 57,125.48 × 10,381.66
  4. Step 4: Simplify right side
    38,083.66x = 593,057,310.70
  5. Step 5: Solve for x
    x = 593,057,310.70/38,083.66
  6. Step 6: Final answer
    x = 15,572.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.