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Finding the Fourth Proportional to 65,381.31, 98,057.39 and 25,927.83

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Solution

The fourth proportional to 65,381.31, 98,057.39 and 25,927.83 is: 38,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.31 : 98,057.39 = 25,927.83 : x
  2. Step 2: Convert to fraction form
    65,381.31/98,057.39 = 25,927.83/x
  3. Step 3: Cross multiply
    65,381.31x = 98,057.39 × 25,927.83
  4. Step 4: Simplify right side
    65,381.31x = 2,542,415,208.52
  5. Step 5: Solve for x
    x = 2,542,415,208.52/65,381.31
  6. Step 6: Final answer
    x = 38,885.96

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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.