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Finding the Fourth Proportional to 75,851.80, 113,613.54 and 49,476.52

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Solution

The fourth proportional to 75,851.80, 113,613.54 and 49,476.52 is: 74,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851.80 : 113,613.54 = 49,476.52 : x
  2. Step 2: Convert to fraction form
    75,851.80/113,613.54 = 49,476.52/x
  3. Step 3: Cross multiply
    75,851.80x = 113,613.54 × 49,476.52
  4. Step 4: Simplify right side
    75,851.80x = 5,621,202,584.08
  5. Step 5: Solve for x
    x = 5,621,202,584.08/75,851.80
  6. Step 6: Final answer
    x = 74,107.70

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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.