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Finding the Fourth Proportional to 96,559.92, 144,790.32 and 40,384.80

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Solution

The fourth proportional to 96,559.92, 144,790.32 and 40,384.80 is: 60,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,559.92 : 144,790.32 = 40,384.80 : x
  2. Step 2: Convert to fraction form
    96,559.92/144,790.32 = 40,384.80/x
  3. Step 3: Cross multiply
    96,559.92x = 144,790.32 × 40,384.80
  4. Step 4: Simplify right side
    96,559.92x = 5,847,328,115.14
  5. Step 5: Solve for x
    x = 5,847,328,115.14/96,559.92
  6. Step 6: Final answer
    x = 60,556.47

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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.