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Finding the Fourth Proportional to 41,189.40, 61,913.70 and 40,411.80

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Solution

The fourth proportional to 41,189.40, 61,913.70 and 40,411.80 is: 60,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189.40 : 61,913.70 = 40,411.80 : x
  2. Step 2: Convert to fraction form
    41,189.40/61,913.70 = 40,411.80/x
  3. Step 3: Cross multiply
    41,189.40x = 61,913.70 × 40,411.80
  4. Step 4: Simplify right side
    41,189.40x = 2,502,044,061.66
  5. Step 5: Solve for x
    x = 2,502,044,061.66/41,189.40
  6. Step 6: Final answer
    x = 60,744.85

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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.