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Finding the Fourth Proportional to 51,425.17, 70,965.79 and 29,069.17

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Solution

The fourth proportional to 51,425.17, 70,965.79 and 29,069.17 is: 40,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,425.17 : 70,965.79 = 29,069.17 : x
  2. Step 2: Convert to fraction form
    51,425.17/70,965.79 = 29,069.17/x
  3. Step 3: Cross multiply
    51,425.17x = 70,965.79 × 29,069.17
  4. Step 4: Simplify right side
    51,425.17x = 2,062,916,613.69
  5. Step 5: Solve for x
    x = 2,062,916,613.69/51,425.17
  6. Step 6: Final answer
    x = 40,114.92

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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.