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Finding the Fourth Proportional to 51,452.16, 70,963.92 and 34,451

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Solution

The fourth proportional to 51,452.16, 70,963.92 and 34,451 is: 47,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,452.16 : 70,963.92 = 34,451 : x
  2. Step 2: Convert to fraction form
    51,452.16/70,963.92 = 34,451/x
  3. Step 3: Cross multiply
    51,452.16x = 70,963.92 × 34,451
  4. Step 4: Simplify right side
    51,452.16x = 2,444,778,007.92
  5. Step 5: Solve for x
    x = 2,444,778,007.92/51,452.16
  6. Step 6: Final answer
    x = 47,515.56

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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.