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Finding the Fourth Proportional to 54,871.82, 82,270.29 and 26,393.74

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Solution

The fourth proportional to 54,871.82, 82,270.29 and 26,393.74 is: 39,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.82 : 82,270.29 = 26,393.74 : x
  2. Step 2: Convert to fraction form
    54,871.82/82,270.29 = 26,393.74/x
  3. Step 3: Cross multiply
    54,871.82x = 82,270.29 × 26,393.74
  4. Step 4: Simplify right side
    54,871.82x = 2,171,420,643.98
  5. Step 5: Solve for x
    x = 2,171,420,643.98/54,871.82
  6. Step 6: Final answer
    x = 39,572.60

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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.