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Finding the Fourth Proportional to 60,054.96, 82,843.20 and 41,877

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Solution

The fourth proportional to 60,054.96, 82,843.20 and 41,877 is: 57,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,054.96 : 82,843.20 = 41,877 : x
  2. Step 2: Convert to fraction form
    60,054.96/82,843.20 = 41,877/x
  3. Step 3: Cross multiply
    60,054.96x = 82,843.20 × 41,877
  4. Step 4: Simplify right side
    60,054.96x = 3,469,224,686.40
  5. Step 5: Solve for x
    x = 3,469,224,686.40/60,054.96
  6. Step 6: Final answer
    x = 57,767.50

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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.