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Finding the Fourth Proportional to 51,345.66, 77,029.29 and 29,169.30

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Solution

The fourth proportional to 51,345.66, 77,029.29 and 29,169.30 is: 43,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,345.66 : 77,029.29 = 29,169.30 : x
  2. Step 2: Convert to fraction form
    51,345.66/77,029.29 = 29,169.30/x
  3. Step 3: Cross multiply
    51,345.66x = 77,029.29 × 29,169.30
  4. Step 4: Simplify right side
    51,345.66x = 2,246,890,468.80
  5. Step 5: Solve for x
    x = 2,246,890,468.80/51,345.66
  6. Step 6: Final answer
    x = 43,760.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.