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Finding the Fourth Proportional to 38,247.50, 57,358.31 and 14,549.42

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Solution

The fourth proportional to 38,247.50, 57,358.31 and 14,549.42 is: 21,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247.50 : 57,358.31 = 14,549.42 : x
  2. Step 2: Convert to fraction form
    38,247.50/57,358.31 = 14,549.42/x
  3. Step 3: Cross multiply
    38,247.50x = 57,358.31 × 14,549.42
  4. Step 4: Simplify right side
    38,247.50x = 834,529,783.14
  5. Step 5: Solve for x
    x = 834,529,783.14/38,247.50
  6. Step 6: Final answer
    x = 21,819.20

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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.