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Finding the Fourth Proportional to 100,711.68, 150,969 and 41,597.16

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Solution

The fourth proportional to 100,711.68, 150,969 and 41,597.16 is: 62,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.68 : 150,969 = 41,597.16 : x
  2. Step 2: Convert to fraction form
    100,711.68/150,969 = 41,597.16/x
  3. Step 3: Cross multiply
    100,711.68x = 150,969 × 41,597.16
  4. Step 4: Simplify right side
    100,711.68x = 6,279,881,648.04
  5. Step 5: Solve for x
    x = 6,279,881,648.04/100,711.68
  6. Step 6: Final answer
    x = 62,355.05

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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.