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Finding the Fourth Proportional to 56,909.88, 78,535.56 and 31,759.38

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Solution

The fourth proportional to 56,909.88, 78,535.56 and 31,759.38 is: 43,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,909.88 : 78,535.56 = 31,759.38 : x
  2. Step 2: Convert to fraction form
    56,909.88/78,535.56 = 31,759.38/x
  3. Step 3: Cross multiply
    56,909.88x = 78,535.56 × 31,759.38
  4. Step 4: Simplify right side
    56,909.88x = 2,494,240,693.55
  5. Step 5: Solve for x
    x = 2,494,240,693.55/56,909.88
  6. Step 6: Final answer
    x = 43,827.90

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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.