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Finding the Fourth Proportional to 64,764.96, 97,065.80 and 34,704.64

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Solution

The fourth proportional to 64,764.96, 97,065.80 and 34,704.64 is: 52,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764.96 : 97,065.80 = 34,704.64 : x
  2. Step 2: Convert to fraction form
    64,764.96/97,065.80 = 34,704.64/x
  3. Step 3: Cross multiply
    64,764.96x = 97,065.80 × 34,704.64
  4. Step 4: Simplify right side
    64,764.96x = 3,368,633,723.26
  5. Step 5: Solve for x
    x = 3,368,633,723.26/64,764.96
  6. Step 6: Final answer
    x = 52,013.22

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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.