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Finding the Fourth Proportional to 75,314.22, 112,793.19 and 65,399.64

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Solution

The fourth proportional to 75,314.22, 112,793.19 and 65,399.64 is: 97,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.22 : 112,793.19 = 65,399.64 : x
  2. Step 2: Convert to fraction form
    75,314.22/112,793.19 = 65,399.64/x
  3. Step 3: Cross multiply
    75,314.22x = 112,793.19 × 65,399.64
  4. Step 4: Simplify right side
    75,314.22x = 7,376,634,020.45
  5. Step 5: Solve for x
    x = 7,376,634,020.45/75,314.22
  6. Step 6: Final answer
    x = 97,944.77

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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.