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Finding the Fourth Proportional to 100,744.32, 151,064.64 and 41,568.96

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Solution

The fourth proportional to 100,744.32, 151,064.64 and 41,568.96 is: 62,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,744.32 : 151,064.64 = 41,568.96 : x
  2. Step 2: Convert to fraction form
    100,744.32/151,064.64 = 41,568.96/x
  3. Step 3: Cross multiply
    100,744.32x = 151,064.64 × 41,568.96
  4. Step 4: Simplify right side
    100,744.32x = 6,279,599,977.57
  5. Step 5: Solve for x
    x = 6,279,599,977.57/100,744.32
  6. Step 6: Final answer
    x = 62,332.05

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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.