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Finding the Fourth Proportional to 73,400, 101,292 and 45,104.96

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Solution

The fourth proportional to 73,400, 101,292 and 45,104.96 is: 62,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,400 : 101,292 = 45,104.96 : x
  2. Step 2: Convert to fraction form
    73,400/101,292 = 45,104.96/x
  3. Step 3: Cross multiply
    73,400x = 101,292 × 45,104.96
  4. Step 4: Simplify right side
    73,400x = 4,568,771,608.32
  5. Step 5: Solve for x
    x = 4,568,771,608.32/73,400
  6. Step 6: Final answer
    x = 62,244.84

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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.