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Finding the Fourth Proportional to 71,154.72, 106,674.48 and 29,632.80

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Solution

The fourth proportional to 71,154.72, 106,674.48 and 29,632.80 is: 44,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154.72 : 106,674.48 = 29,632.80 : x
  2. Step 2: Convert to fraction form
    71,154.72/106,674.48 = 29,632.80/x
  3. Step 3: Cross multiply
    71,154.72x = 106,674.48 × 29,632.80
  4. Step 4: Simplify right side
    71,154.72x = 3,161,063,530.94
  5. Step 5: Solve for x
    x = 3,161,063,530.94/71,154.72
  6. Step 6: Final answer
    x = 44,425.21

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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.