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Finding the Fourth Proportional to 57,781.99, 86,606.16 and 24,452.11

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Solution

The fourth proportional to 57,781.99, 86,606.16 and 24,452.11 is: 36,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.99 : 86,606.16 = 24,452.11 : x
  2. Step 2: Convert to fraction form
    57,781.99/86,606.16 = 24,452.11/x
  3. Step 3: Cross multiply
    57,781.99x = 86,606.16 × 24,452.11
  4. Step 4: Simplify right side
    57,781.99x = 2,117,703,351.00
  5. Step 5: Solve for x
    x = 2,117,703,351.00/57,781.99
  6. Step 6: Final answer
    x = 36,649.89

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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.