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Finding the Fourth Proportional to 82,906.98, 124,337.70 and 22,921.23

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Solution

The fourth proportional to 82,906.98, 124,337.70 and 22,921.23 is: 34,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.98 : 124,337.70 = 22,921.23 : x
  2. Step 2: Convert to fraction form
    82,906.98/124,337.70 = 22,921.23/x
  3. Step 3: Cross multiply
    82,906.98x = 124,337.70 × 22,921.23
  4. Step 4: Simplify right side
    82,906.98x = 2,849,973,019.37
  5. Step 5: Solve for x
    x = 2,849,973,019.37/82,906.98
  6. Step 6: Final answer
    x = 34,375.55

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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.