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Finding the Fourth Proportional to 67,035.82, 100,400.64 and 32,000.08

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Solution

The fourth proportional to 67,035.82, 100,400.64 and 32,000.08 is: 47,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,035.82 : 100,400.64 = 32,000.08 : x
  2. Step 2: Convert to fraction form
    67,035.82/100,400.64 = 32,000.08/x
  3. Step 3: Cross multiply
    67,035.82x = 100,400.64 × 32,000.08
  4. Step 4: Simplify right side
    67,035.82x = 3,212,828,512.05
  5. Step 5: Solve for x
    x = 3,212,828,512.05/67,035.82
  6. Step 6: Final answer
    x = 47,927.04

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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.