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Finding the Fourth Proportional to 59,872.16, 82,651.92 and 34,712.48

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Solution

The fourth proportional to 59,872.16, 82,651.92 and 34,712.48 is: 47,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,872.16 : 82,651.92 = 34,712.48 : x
  2. Step 2: Convert to fraction form
    59,872.16/82,651.92 = 34,712.48/x
  3. Step 3: Cross multiply
    59,872.16x = 82,651.92 × 34,712.48
  4. Step 4: Simplify right side
    59,872.16x = 2,869,053,119.96
  5. Step 5: Solve for x
    x = 2,869,053,119.96/59,872.16
  6. Step 6: Final answer
    x = 47,919.65

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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.