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Finding the Fourth Proportional to 67,284, 100,924.08 and 20,530.08

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Solution

The fourth proportional to 67,284, 100,924.08 and 20,530.08 is: 30,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 100,924.08 = 20,530.08 : x
  2. Step 2: Convert to fraction form
    67,284/100,924.08 = 20,530.08/x
  3. Step 3: Cross multiply
    67,284x = 100,924.08 × 20,530.08
  4. Step 4: Simplify right side
    67,284x = 2,071,979,436.33
  5. Step 5: Solve for x
    x = 2,071,979,436.33/67,284
  6. Step 6: Final answer
    x = 30,794.53

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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.