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Finding the Fourth Proportional to 49,155, 67,833.82 and 27,934.28

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Solution

The fourth proportional to 49,155, 67,833.82 and 27,934.28 is: 38,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,155 : 67,833.82 = 27,934.28 : x
  2. Step 2: Convert to fraction form
    49,155/67,833.82 = 27,934.28/x
  3. Step 3: Cross multiply
    49,155x = 67,833.82 × 27,934.28
  4. Step 4: Simplify right side
    49,155x = 1,894,888,921.35
  5. Step 5: Solve for x
    x = 1,894,888,921.35/49,155
  6. Step 6: Final answer
    x = 38,549.26

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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.