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Finding the Fourth Proportional to 31,713.21, 43,762.50 and 17,565.75

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Solution

The fourth proportional to 31,713.21, 43,762.50 and 17,565.75 is: 24,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.21 : 43,762.50 = 17,565.75 : x
  2. Step 2: Convert to fraction form
    31,713.21/43,762.50 = 17,565.75/x
  3. Step 3: Cross multiply
    31,713.21x = 43,762.50 × 17,565.75
  4. Step 4: Simplify right side
    31,713.21x = 768,721,134.38
  5. Step 5: Solve for x
    x = 768,721,134.38/31,713.21
  6. Step 6: Final answer
    x = 24,239.78

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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.