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Finding the Fourth Proportional to 72,176.97, 108,234.51 and 24,796.83

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Solution

The fourth proportional to 72,176.97, 108,234.51 and 24,796.83 is: 37,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176.97 : 108,234.51 = 24,796.83 : x
  2. Step 2: Convert to fraction form
    72,176.97/108,234.51 = 24,796.83/x
  3. Step 3: Cross multiply
    72,176.97x = 108,234.51 × 24,796.83
  4. Step 4: Simplify right side
    72,176.97x = 2,683,872,744.60
  5. Step 5: Solve for x
    x = 2,683,872,744.60/72,176.97
  6. Step 6: Final answer
    x = 37,184.61

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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.