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Finding the Fourth Proportional to 41,565.72, 57,342.42 and 24,789

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Solution

The fourth proportional to 41,565.72, 57,342.42 and 24,789 is: 34,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565.72 : 57,342.42 = 24,789 : x
  2. Step 2: Convert to fraction form
    41,565.72/57,342.42 = 24,789/x
  3. Step 3: Cross multiply
    41,565.72x = 57,342.42 × 24,789
  4. Step 4: Simplify right side
    41,565.72x = 1,421,461,249.38
  5. Step 5: Solve for x
    x = 1,421,461,249.38/41,565.72
  6. Step 6: Final answer
    x = 34,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.