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Finding the Fourth Proportional to 41,856.30, 57,776.86 and 27,713.70

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Solution

The fourth proportional to 41,856.30, 57,776.86 and 27,713.70 is: 38,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.30 : 57,776.86 = 27,713.70 : x
  2. Step 2: Convert to fraction form
    41,856.30/57,776.86 = 27,713.70/x
  3. Step 3: Cross multiply
    41,856.30x = 57,776.86 × 27,713.70
  4. Step 4: Simplify right side
    41,856.30x = 1,601,210,426.41
  5. Step 5: Solve for x
    x = 1,601,210,426.41/41,856.30
  6. Step 6: Final answer
    x = 38,254.94

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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.