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Finding the Fourth Proportional to 100,632.96, 150,876.24 and 41,447.76

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Solution

The fourth proportional to 100,632.96, 150,876.24 and 41,447.76 is: 62,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.96 : 150,876.24 = 41,447.76 : x
  2. Step 2: Convert to fraction form
    100,632.96/150,876.24 = 41,447.76/x
  3. Step 3: Cross multiply
    100,632.96x = 150,876.24 × 41,447.76
  4. Step 4: Simplify right side
    100,632.96x = 6,253,482,185.22
  5. Step 5: Solve for x
    x = 6,253,482,185.22/100,632.96
  6. Step 6: Final answer
    x = 62,141.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.