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Finding the Fourth Proportional to 34,565.62, 51,876.12 and 15,854.48

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Solution

The fourth proportional to 34,565.62, 51,876.12 and 15,854.48 is: 23,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,565.62 : 51,876.12 = 15,854.48 : x
  2. Step 2: Convert to fraction form
    34,565.62/51,876.12 = 15,854.48/x
  3. Step 3: Cross multiply
    34,565.62x = 51,876.12 × 15,854.48
  4. Step 4: Simplify right side
    34,565.62x = 822,468,568.36
  5. Step 5: Solve for x
    x = 822,468,568.36/34,565.62
  6. Step 6: Final answer
    x = 23,794.41

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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.