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Finding the Fourth Proportional to 41,468.50, 57,206.82 and 28,044.46

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Solution

The fourth proportional to 41,468.50, 57,206.82 and 28,044.46 is: 38,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,468.50 : 57,206.82 = 28,044.46 : x
  2. Step 2: Convert to fraction form
    41,468.50/57,206.82 = 28,044.46/x
  3. Step 3: Cross multiply
    41,468.50x = 57,206.82 × 28,044.46
  4. Step 4: Simplify right side
    41,468.50x = 1,604,334,375.22
  5. Step 5: Solve for x
    x = 1,604,334,375.22/41,468.50
  6. Step 6: Final answer
    x = 38,688.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.