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Finding the Fourth Proportional to 41,654.72, 62,491.68 and 13,952

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Solution

The fourth proportional to 41,654.72, 62,491.68 and 13,952 is: 20,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,654.72 : 62,491.68 = 13,952 : x
  2. Step 2: Convert to fraction form
    41,654.72/62,491.68 = 13,952/x
  3. Step 3: Cross multiply
    41,654.72x = 62,491.68 × 13,952
  4. Step 4: Simplify right side
    41,654.72x = 871,883,919.36
  5. Step 5: Solve for x
    x = 871,883,919.36/41,654.72
  6. Step 6: Final answer
    x = 20,931.22

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Why These Related Problems?

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