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Finding the Fourth Proportional to 101,776.15, 152,627.64 and 35,198.20

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Solution

The fourth proportional to 101,776.15, 152,627.64 and 35,198.20 is: 52,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776.15 : 152,627.64 = 35,198.20 : x
  2. Step 2: Convert to fraction form
    101,776.15/152,627.64 = 35,198.20/x
  3. Step 3: Cross multiply
    101,776.15x = 152,627.64 × 35,198.20
  4. Step 4: Simplify right side
    101,776.15x = 5,372,218,198.25
  5. Step 5: Solve for x
    x = 5,372,218,198.25/101,776.15
  6. Step 6: Final answer
    x = 52,784.65

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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.