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Finding the Fourth Proportional to 100,010.28, 150,015.42 and 40,832.76

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Solution

The fourth proportional to 100,010.28, 150,015.42 and 40,832.76 is: 61,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010.28 : 150,015.42 = 40,832.76 : x
  2. Step 2: Convert to fraction form
    100,010.28/150,015.42 = 40,832.76/x
  3. Step 3: Cross multiply
    100,010.28x = 150,015.42 × 40,832.76
  4. Step 4: Simplify right side
    100,010.28x = 6,125,543,641.16
  5. Step 5: Solve for x
    x = 6,125,543,641.16/100,010.28
  6. Step 6: Final answer
    x = 61,249.14

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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.