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Finding the Fourth Proportional to 41,870.72, 57,789.76 and 27,724.16

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Solution

The fourth proportional to 41,870.72, 57,789.76 and 27,724.16 is: 38,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,870.72 : 57,789.76 = 27,724.16 : x
  2. Step 2: Convert to fraction form
    41,870.72/57,789.76 = 27,724.16/x
  3. Step 3: Cross multiply
    41,870.72x = 57,789.76 × 27,724.16
  4. Step 4: Simplify right side
    41,870.72x = 1,602,172,552.60
  5. Step 5: Solve for x
    x = 1,602,172,552.60/41,870.72
  6. Step 6: Final answer
    x = 38,264.75

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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.