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Finding the Fourth Proportional to 69,102.52, 103,528.02 and 47,997.97

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Solution

The fourth proportional to 69,102.52, 103,528.02 and 47,997.97 is: 71,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.52 : 103,528.02 = 47,997.97 : x
  2. Step 2: Convert to fraction form
    69,102.52/103,528.02 = 47,997.97/x
  3. Step 3: Cross multiply
    69,102.52x = 103,528.02 × 47,997.97
  4. Step 4: Simplify right side
    69,102.52x = 4,969,134,798.12
  5. Step 5: Solve for x
    x = 4,969,134,798.12/69,102.52
  6. Step 6: Final answer
    x = 71,909.60

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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.