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Finding the Fourth Proportional to 100,335.39, 150,465.42 and 32,851.86

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Solution

The fourth proportional to 100,335.39, 150,465.42 and 32,851.86 is: 49,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335.39 : 150,465.42 = 32,851.86 : x
  2. Step 2: Convert to fraction form
    100,335.39/150,465.42 = 32,851.86/x
  3. Step 3: Cross multiply
    100,335.39x = 150,465.42 × 32,851.86
  4. Step 4: Simplify right side
    100,335.39x = 4,943,068,912.68
  5. Step 5: Solve for x
    x = 4,943,068,912.68/100,335.39
  6. Step 6: Final answer
    x = 49,265.46

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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.