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Finding the Fourth Proportional to 95,324.50, 142,983.16 and 28,762.86

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Solution

The fourth proportional to 95,324.50, 142,983.16 and 28,762.86 is: 43,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,324.50 : 142,983.16 = 28,762.86 : x
  2. Step 2: Convert to fraction form
    95,324.50/142,983.16 = 28,762.86/x
  3. Step 3: Cross multiply
    95,324.50x = 142,983.16 × 28,762.86
  4. Step 4: Simplify right side
    95,324.50x = 4,112,604,613.44
  5. Step 5: Solve for x
    x = 4,112,604,613.44/95,324.50
  6. Step 6: Final answer
    x = 43,143.21

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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.