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Finding the Fourth Proportional to 71,962.50, 107,944.44 and 27,578.70

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Solution

The fourth proportional to 71,962.50, 107,944.44 and 27,578.70 is: 41,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,962.50 : 107,944.44 = 27,578.70 : x
  2. Step 2: Convert to fraction form
    71,962.50/107,944.44 = 27,578.70/x
  3. Step 3: Cross multiply
    71,962.50x = 107,944.44 × 27,578.70
  4. Step 4: Simplify right side
    71,962.50x = 2,976,967,327.43
  5. Step 5: Solve for x
    x = 2,976,967,327.43/71,962.50
  6. Step 6: Final answer
    x = 41,368.31

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1.5x scale

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.