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Finding the Fourth Proportional to 49,549.56, 68,362.48 and 27,742.62

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Solution

The fourth proportional to 49,549.56, 68,362.48 and 27,742.62 is: 38,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549.56 : 68,362.48 = 27,742.62 : x
  2. Step 2: Convert to fraction form
    49,549.56/68,362.48 = 27,742.62/x
  3. Step 3: Cross multiply
    49,549.56x = 68,362.48 × 27,742.62
  4. Step 4: Simplify right side
    49,549.56x = 1,896,554,595.94
  5. Step 5: Solve for x
    x = 1,896,554,595.94/49,549.56
  6. Step 6: Final answer
    x = 38,275.91

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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.