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Finding the Fourth Proportional to 50,766, 70,057.17 and 29,559.48

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Solution

The fourth proportional to 50,766, 70,057.17 and 29,559.48 is: 40,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766 : 70,057.17 = 29,559.48 : x
  2. Step 2: Convert to fraction form
    50,766/70,057.17 = 29,559.48/x
  3. Step 3: Cross multiply
    50,766x = 70,057.17 × 29,559.48
  4. Step 4: Simplify right side
    50,766x = 2,070,853,515.47
  5. Step 5: Solve for x
    x = 2,070,853,515.47/50,766
  6. Step 6: Final answer
    x = 40,792.13

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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.