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Finding the Fourth Proportional to 67,205.52, 100,823.31 and 20,462.04

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Solution

The fourth proportional to 67,205.52, 100,823.31 and 20,462.04 is: 30,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,205.52 : 100,823.31 = 20,462.04 : x
  2. Step 2: Convert to fraction form
    67,205.52/100,823.31 = 20,462.04/x
  3. Step 3: Cross multiply
    67,205.52x = 100,823.31 × 20,462.04
  4. Step 4: Simplify right side
    67,205.52x = 2,063,050,602.15
  5. Step 5: Solve for x
    x = 2,063,050,602.15/67,205.52
  6. Step 6: Final answer
    x = 30,697.64

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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.