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Finding the Fourth Proportional to 64,197.56, 96,337.65 and 34,635.80

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Solution

The fourth proportional to 64,197.56, 96,337.65 and 34,635.80 is: 51,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197.56 : 96,337.65 = 34,635.80 : x
  2. Step 2: Convert to fraction form
    64,197.56/96,337.65 = 34,635.80/x
  3. Step 3: Cross multiply
    64,197.56x = 96,337.65 × 34,635.80
  4. Step 4: Simplify right side
    64,197.56x = 3,336,731,577.87
  5. Step 5: Solve for x
    x = 3,336,731,577.87/64,197.56
  6. Step 6: Final answer
    x = 51,975.99

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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.