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Finding the Fourth Proportional to 67,870.71, 101,821.26 and 20,486.64

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Solution

The fourth proportional to 67,870.71, 101,821.26 and 20,486.64 is: 30,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870.71 : 101,821.26 = 20,486.64 : x
  2. Step 2: Convert to fraction form
    67,870.71/101,821.26 = 20,486.64/x
  3. Step 3: Cross multiply
    67,870.71x = 101,821.26 × 20,486.64
  4. Step 4: Simplify right side
    67,870.71x = 2,085,975,497.97
  5. Step 5: Solve for x
    x = 2,085,975,497.97/67,870.71
  6. Step 6: Final answer
    x = 30,734.55

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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.