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Finding the Fourth Proportional to 83,952.10, 125,926.09 and 34,018.79

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Solution

The fourth proportional to 83,952.10, 125,926.09 and 34,018.79 is: 51,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.10 : 125,926.09 = 34,018.79 : x
  2. Step 2: Convert to fraction form
    83,952.10/125,926.09 = 34,018.79/x
  3. Step 3: Cross multiply
    83,952.10x = 125,926.09 × 34,018.79
  4. Step 4: Simplify right side
    83,952.10x = 4,283,852,687.91
  5. Step 5: Solve for x
    x = 4,283,852,687.91/83,952.10
  6. Step 6: Final answer
    x = 51,027.35

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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.