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Finding the Fourth Proportional to 41,463, 57,219.78 and 22,600.14

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Solution

The fourth proportional to 41,463, 57,219.78 and 22,600.14 is: 31,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,463 : 57,219.78 = 22,600.14 : x
  2. Step 2: Convert to fraction form
    41,463/57,219.78 = 22,600.14/x
  3. Step 3: Cross multiply
    41,463x = 57,219.78 × 22,600.14
  4. Step 4: Simplify right side
    41,463x = 1,293,175,038.77
  5. Step 5: Solve for x
    x = 1,293,175,038.77/41,463
  6. Step 6: Final answer
    x = 31,188.65

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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.