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Finding the Fourth Proportional to 67,049.82, 100,421.64 and 32,014.08

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Solution

The fourth proportional to 67,049.82, 100,421.64 and 32,014.08 is: 47,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,049.82 : 100,421.64 = 32,014.08 : x
  2. Step 2: Convert to fraction form
    67,049.82/100,421.64 = 32,014.08/x
  3. Step 3: Cross multiply
    67,049.82x = 100,421.64 × 32,014.08
  4. Step 4: Simplify right side
    67,049.82x = 3,214,906,416.69
  5. Step 5: Solve for x
    x = 3,214,906,416.69/67,049.82
  6. Step 6: Final answer
    x = 47,948.02

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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.