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Finding the Fourth Proportional to 101,404.80, 152,107.20 and 26,524.80

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Solution

The fourth proportional to 101,404.80, 152,107.20 and 26,524.80 is: 39,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,404.80 : 152,107.20 = 26,524.80 : x
  2. Step 2: Convert to fraction form
    101,404.80/152,107.20 = 26,524.80/x
  3. Step 3: Cross multiply
    101,404.80x = 152,107.20 × 26,524.80
  4. Step 4: Simplify right side
    101,404.80x = 4,034,613,058.56
  5. Step 5: Solve for x
    x = 4,034,613,058.56/101,404.80
  6. Step 6: Final answer
    x = 39,787.20

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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.