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Finding the Fourth Proportional to 54,859.68, 82,270.08 and 23,677.92

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Solution

The fourth proportional to 54,859.68, 82,270.08 and 23,677.92 is: 35,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.68 : 82,270.08 = 23,677.92 : x
  2. Step 2: Convert to fraction form
    54,859.68/82,270.08 = 23,677.92/x
  3. Step 3: Cross multiply
    54,859.68x = 82,270.08 × 23,677.92
  4. Step 4: Simplify right side
    54,859.68x = 1,947,984,372.63
  5. Step 5: Solve for x
    x = 1,947,984,372.63/54,859.68
  6. Step 6: Final answer
    x = 35,508.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.