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Finding the Fourth Proportional to 100,295.58, 150,344.40 and 47,741.97

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Solution

The fourth proportional to 100,295.58, 150,344.40 and 47,741.97 is: 71,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.58 : 150,344.40 = 47,741.97 : x
  2. Step 2: Convert to fraction form
    100,295.58/150,344.40 = 47,741.97/x
  3. Step 3: Cross multiply
    100,295.58x = 150,344.40 × 47,741.97
  4. Step 4: Simplify right side
    100,295.58x = 7,177,737,834.47
  5. Step 5: Solve for x
    x = 7,177,737,834.47/100,295.58
  6. Step 6: Final answer
    x = 71,565.84

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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.