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Finding the Fourth Proportional to 96,565.80, 144,863.10 and 34,231.40

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Solution

The fourth proportional to 96,565.80, 144,863.10 and 34,231.40 is: 51,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.80 : 144,863.10 = 34,231.40 : x
  2. Step 2: Convert to fraction form
    96,565.80/144,863.10 = 34,231.40/x
  3. Step 3: Cross multiply
    96,565.80x = 144,863.10 × 34,231.40
  4. Step 4: Simplify right side
    96,565.80x = 4,958,866,721.34
  5. Step 5: Solve for x
    x = 4,958,866,721.34/96,565.80
  6. Step 6: Final answer
    x = 51,352.20

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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.