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Finding the Fourth Proportional to 49,165.75, 67,854.56 and 27,948.21

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Solution

The fourth proportional to 49,165.75, 67,854.56 and 27,948.21 is: 38,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,165.75 : 67,854.56 = 27,948.21 : x
  2. Step 2: Convert to fraction form
    49,165.75/67,854.56 = 27,948.21/x
  3. Step 3: Cross multiply
    49,165.75x = 67,854.56 × 27,948.21
  4. Step 4: Simplify right side
    49,165.75x = 1,896,413,492.34
  5. Step 5: Solve for x
    x = 1,896,413,492.34/49,165.75
  6. Step 6: Final answer
    x = 38,571.84

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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.