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Finding the Fourth Proportional to 92,531.72, 127,908.98 and 82,559.00

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Solution

The fourth proportional to 92,531.72, 127,908.98 and 82,559.00 is: 114,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,531.72 : 127,908.98 = 82,559.00 : x
  2. Step 2: Convert to fraction form
    92,531.72/127,908.98 = 82,559.00/x
  3. Step 3: Cross multiply
    92,531.72x = 127,908.98 × 82,559.00
  4. Step 4: Simplify right side
    92,531.72x = 10,560,036,427.48
  5. Step 5: Solve for x
    x = 10,560,036,427.48/92,531.72
  6. Step 6: Final answer
    x = 114,123.43

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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.