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Finding the Fourth Proportional to 49,155.75, 67,840.68 and 27,938.21

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Solution

The fourth proportional to 49,155.75, 67,840.68 and 27,938.21 is: 38,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,155.75 : 67,840.68 = 27,938.21 : x
  2. Step 2: Convert to fraction form
    49,155.75/67,840.68 = 27,938.21/x
  3. Step 3: Cross multiply
    49,155.75x = 67,840.68 × 27,938.21
  4. Step 4: Simplify right side
    49,155.75x = 1,895,346,825.18
  5. Step 5: Solve for x
    x = 1,895,346,825.18/49,155.75
  6. Step 6: Final answer
    x = 38,557.99

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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.