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Finding the Fourth Proportional to 67,468.14, 101,223.81 and 32,410.26

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Solution

The fourth proportional to 67,468.14, 101,223.81 and 32,410.26 is: 48,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,468.14 : 101,223.81 = 32,410.26 : x
  2. Step 2: Convert to fraction form
    67,468.14/101,223.81 = 32,410.26/x
  3. Step 3: Cross multiply
    67,468.14x = 101,223.81 × 32,410.26
  4. Step 4: Simplify right side
    67,468.14x = 3,280,690,000.29
  5. Step 5: Solve for x
    x = 3,280,690,000.29/67,468.14
  6. Step 6: Final answer
    x = 48,625.77

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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.