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Finding the Fourth Proportional to 83,758.42, 125,656.16 and 27,596.26

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Solution

The fourth proportional to 83,758.42, 125,656.16 and 27,596.26 is: 41,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,758.42 : 125,656.16 = 27,596.26 : x
  2. Step 2: Convert to fraction form
    83,758.42/125,656.16 = 27,596.26/x
  3. Step 3: Cross multiply
    83,758.42x = 125,656.16 × 27,596.26
  4. Step 4: Simplify right side
    83,758.42x = 3,467,640,061.96
  5. Step 5: Solve for x
    x = 3,467,640,061.96/83,758.42
  6. Step 6: Final answer
    x = 41,400.50

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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.