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Finding the Fourth Proportional to 69,766.38, 96,271.35 and 38,722.44

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Solution

The fourth proportional to 69,766.38, 96,271.35 and 38,722.44 is: 53,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,766.38 : 96,271.35 = 38,722.44 : x
  2. Step 2: Convert to fraction form
    69,766.38/96,271.35 = 38,722.44/x
  3. Step 3: Cross multiply
    69,766.38x = 96,271.35 × 38,722.44
  4. Step 4: Simplify right side
    69,766.38x = 3,727,861,574.09
  5. Step 5: Solve for x
    x = 3,727,861,574.09/69,766.38
  6. Step 6: Final answer
    x = 53,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.