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Finding the Fourth Proportional to 51,722.64, 71,377.29 and 29,366.64

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Solution

The fourth proportional to 51,722.64, 71,377.29 and 29,366.64 is: 40,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.64 : 71,377.29 = 29,366.64 : x
  2. Step 2: Convert to fraction form
    51,722.64/71,377.29 = 29,366.64/x
  3. Step 3: Cross multiply
    51,722.64x = 71,377.29 × 29,366.64
  4. Step 4: Simplify right side
    51,722.64x = 2,096,111,179.61
  5. Step 5: Solve for x
    x = 2,096,111,179.61/51,722.64
  6. Step 6: Final answer
    x = 40,525.99

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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.