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Finding the Fourth Proportional to 64,493.61, 96,704.90 and 34,542.96

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Solution

The fourth proportional to 64,493.61, 96,704.90 and 34,542.96 is: 51,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493.61 : 96,704.90 = 34,542.96 : x
  2. Step 2: Convert to fraction form
    64,493.61/96,704.90 = 34,542.96/x
  3. Step 3: Cross multiply
    64,493.61x = 96,704.90 × 34,542.96
  4. Step 4: Simplify right side
    64,493.61x = 3,340,473,319.79
  5. Step 5: Solve for x
    x = 3,340,473,319.79/64,493.61
  6. Step 6: Final answer
    x = 51,795.42

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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.