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Finding the Fourth Proportional to 38,142.72, 57,219.54 and 14,443.88

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Solution

The fourth proportional to 38,142.72, 57,219.54 and 14,443.88 is: 21,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.72 : 57,219.54 = 14,443.88 : x
  2. Step 2: Convert to fraction form
    38,142.72/57,219.54 = 14,443.88/x
  3. Step 3: Cross multiply
    38,142.72x = 57,219.54 × 14,443.88
  4. Step 4: Simplify right side
    38,142.72x = 826,472,169.42
  5. Step 5: Solve for x
    x = 826,472,169.42/38,142.72
  6. Step 6: Final answer
    x = 21,667.89

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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.