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Finding the Fourth Proportional to 96,565.20, 144,847.80 and 30,004.80

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Solution

The fourth proportional to 96,565.20, 144,847.80 and 30,004.80 is: 45,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.20 : 144,847.80 = 30,004.80 : x
  2. Step 2: Convert to fraction form
    96,565.20/144,847.80 = 30,004.80/x
  3. Step 3: Cross multiply
    96,565.20x = 144,847.80 × 30,004.80
  4. Step 4: Simplify right side
    96,565.20x = 4,346,129,269.44
  5. Step 5: Solve for x
    x = 4,346,129,269.44/96,565.20
  6. Step 6: Final answer
    x = 45,007.20

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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.