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Finding the Fourth Proportional to 38,144.98, 57,193.78 and 15,931.14

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Solution

The fourth proportional to 38,144.98, 57,193.78 and 15,931.14 is: 23,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.98 : 57,193.78 = 15,931.14 : x
  2. Step 2: Convert to fraction form
    38,144.98/57,193.78 = 15,931.14/x
  3. Step 3: Cross multiply
    38,144.98x = 57,193.78 × 15,931.14
  4. Step 4: Simplify right side
    38,144.98x = 911,162,116.31
  5. Step 5: Solve for x
    x = 911,162,116.31/38,144.98
  6. Step 6: Final answer
    x = 23,886.82

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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.