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Finding the Fourth Proportional to 92,188.26, 127,231.91 and 51,909.87

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Solution

The fourth proportional to 92,188.26, 127,231.91 and 51,909.87 is: 71,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,188.26 : 127,231.91 = 51,909.87 : x
  2. Step 2: Convert to fraction form
    92,188.26/127,231.91 = 51,909.87/x
  3. Step 3: Cross multiply
    92,188.26x = 127,231.91 × 51,909.87
  4. Step 4: Simplify right side
    92,188.26x = 6,604,592,037.73
  5. Step 5: Solve for x
    x = 6,604,592,037.73/92,188.26
  6. Step 6: Final answer
    x = 71,642.44

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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.