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Finding the Fourth Proportional to 67,165.60, 100,633.20 and 32,029.60

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Solution

The fourth proportional to 67,165.60, 100,633.20 and 32,029.60 is: 47,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.60 : 100,633.20 = 32,029.60 : x
  2. Step 2: Convert to fraction form
    67,165.60/100,633.20 = 32,029.60/x
  3. Step 3: Cross multiply
    67,165.60x = 100,633.20 × 32,029.60
  4. Step 4: Simplify right side
    67,165.60x = 3,223,241,142.72
  5. Step 5: Solve for x
    x = 3,223,241,142.72/67,165.60
  6. Step 6: Final answer
    x = 47,989.46

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1.5x scale

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.