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Finding the Fourth Proportional to 75,314.73, 112,793.97 and 65,400.12

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Solution

The fourth proportional to 75,314.73, 112,793.97 and 65,400.12 is: 97,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.73 : 112,793.97 = 65,400.12 : x
  2. Step 2: Convert to fraction form
    75,314.73/112,793.97 = 65,400.12/x
  3. Step 3: Cross multiply
    75,314.73x = 112,793.97 × 65,400.12
  4. Step 4: Simplify right side
    75,314.73x = 7,376,739,173.28
  5. Step 5: Solve for x
    x = 7,376,739,173.28/75,314.73
  6. Step 6: Final answer
    x = 97,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.