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Finding the Fourth Proportional to 41,401.36, 57,200.68 and 28,882

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Solution

The fourth proportional to 41,401.36, 57,200.68 and 28,882 is: 39,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,401.36 : 57,200.68 = 28,882 : x
  2. Step 2: Convert to fraction form
    41,401.36/57,200.68 = 28,882/x
  3. Step 3: Cross multiply
    41,401.36x = 57,200.68 × 28,882
  4. Step 4: Simplify right side
    41,401.36x = 1,652,070,039.76
  5. Step 5: Solve for x
    x = 1,652,070,039.76/41,401.36
  6. Step 6: Final answer
    x = 39,903.76

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