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Finding the Fourth Proportional to 51,796.59, 71,478.57 and 29,135.58

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Solution

The fourth proportional to 51,796.59, 71,478.57 and 29,135.58 is: 40,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,796.59 : 71,478.57 = 29,135.58 : x
  2. Step 2: Convert to fraction form
    51,796.59/71,478.57 = 29,135.58/x
  3. Step 3: Cross multiply
    51,796.59x = 71,478.57 × 29,135.58
  4. Step 4: Simplify right side
    51,796.59x = 2,082,569,594.52
  5. Step 5: Solve for x
    x = 2,082,569,594.52/51,796.59
  6. Step 6: Final answer
    x = 40,206.69

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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.