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Finding the Fourth Proportional to 75,314.26, 103,922.87 and 45,092.34

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Solution

The fourth proportional to 75,314.26, 103,922.87 and 45,092.34 is: 62,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.26 : 103,922.87 = 45,092.34 : x
  2. Step 2: Convert to fraction form
    75,314.26/103,922.87 = 45,092.34/x
  3. Step 3: Cross multiply
    75,314.26x = 103,922.87 × 45,092.34
  4. Step 4: Simplify right side
    75,314.26x = 4,686,125,387.82
  5. Step 5: Solve for x
    x = 4,686,125,387.82/75,314.26
  6. Step 6: Final answer
    x = 62,220.96

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