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Finding the Fourth Proportional to 73,597.64, 110,319.78 and 34,122.20

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Solution

The fourth proportional to 73,597.64, 110,319.78 and 34,122.20 is: 51,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,597.64 : 110,319.78 = 34,122.20 : x
  2. Step 2: Convert to fraction form
    73,597.64/110,319.78 = 34,122.20/x
  3. Step 3: Cross multiply
    73,597.64x = 110,319.78 × 34,122.20
  4. Step 4: Simplify right side
    73,597.64x = 3,764,353,597.12
  5. Step 5: Solve for x
    x = 3,764,353,597.12/73,597.64
  6. Step 6: Final answer
    x = 51,147.75

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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.