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Finding the Fourth Proportional to 49,534.25, 68,358.47 and 27,178.25

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Solution

The fourth proportional to 49,534.25, 68,358.47 and 27,178.25 is: 37,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534.25 : 68,358.47 = 27,178.25 : x
  2. Step 2: Convert to fraction form
    49,534.25/68,358.47 = 27,178.25/x
  3. Step 3: Cross multiply
    49,534.25x = 68,358.47 × 27,178.25
  4. Step 4: Simplify right side
    49,534.25x = 1,857,863,587.28
  5. Step 5: Solve for x
    x = 1,857,863,587.28/49,534.25
  6. Step 6: Final answer
    x = 37,506.65

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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.