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Finding the Fourth Proportional to 86,098.33, 129,152.96 and 22,917.42

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Solution

The fourth proportional to 86,098.33, 129,152.96 and 22,917.42 is: 34,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,098.33 : 129,152.96 = 22,917.42 : x
  2. Step 2: Convert to fraction form
    86,098.33/129,152.96 = 22,917.42/x
  3. Step 3: Cross multiply
    86,098.33x = 129,152.96 × 22,917.42
  4. Step 4: Simplify right side
    86,098.33x = 2,959,852,628.56
  5. Step 5: Solve for x
    x = 2,959,852,628.56/86,098.33
  6. Step 6: Final answer
    x = 34,377.58

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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.