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Finding the Fourth Proportional to 100,052.83, 150,079.25 and 47,433.61

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Solution

The fourth proportional to 100,052.83, 150,079.25 and 47,433.61 is: 71,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052.83 : 150,079.25 = 47,433.61 : x
  2. Step 2: Convert to fraction form
    100,052.83/150,079.25 = 47,433.61/x
  3. Step 3: Cross multiply
    100,052.83x = 150,079.25 × 47,433.61
  4. Step 4: Simplify right side
    100,052.83x = 7,118,800,001.23
  5. Step 5: Solve for x
    x = 7,118,800,001.23/100,052.83
  6. Step 6: Final answer
    x = 71,150.41

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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.