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Finding the Fourth Proportional to 95,978.25, 132,441.68 and 61,988.22

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Solution

The fourth proportional to 95,978.25, 132,441.68 and 61,988.22 is: 85,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,978.25 : 132,441.68 = 61,988.22 : x
  2. Step 2: Convert to fraction form
    95,978.25/132,441.68 = 61,988.22/x
  3. Step 3: Cross multiply
    95,978.25x = 132,441.68 × 61,988.22
  4. Step 4: Simplify right side
    95,978.25x = 8,209,824,151.98
  5. Step 5: Solve for x
    x = 8,209,824,151.98/95,978.25
  6. Step 6: Final answer
    x = 85,538.38

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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.