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Finding the Fourth Proportional to 51,959.66, 71,698.24 and 29,297.31

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Solution

The fourth proportional to 51,959.66, 71,698.24 and 29,297.31 is: 40,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,959.66 : 71,698.24 = 29,297.31 : x
  2. Step 2: Convert to fraction form
    51,959.66/71,698.24 = 29,297.31/x
  3. Step 3: Cross multiply
    51,959.66x = 71,698.24 × 29,297.31
  4. Step 4: Simplify right side
    51,959.66x = 2,100,565,386.42
  5. Step 5: Solve for x
    x = 2,100,565,386.42/51,959.66
  6. Step 6: Final answer
    x = 40,426.85

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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.