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Finding the Fourth Proportional to 64,464.80, 96,726.24 and 34,847.96

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Solution

The fourth proportional to 64,464.80, 96,726.24 and 34,847.96 is: 52,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.80 : 96,726.24 = 34,847.96 : x
  2. Step 2: Convert to fraction form
    64,464.80/96,726.24 = 34,847.96/x
  3. Step 3: Cross multiply
    64,464.80x = 96,726.24 × 34,847.96
  4. Step 4: Simplify right side
    64,464.80x = 3,370,711,658.84
  5. Step 5: Solve for x
    x = 3,370,711,658.84/64,464.80
  6. Step 6: Final answer
    x = 52,287.63

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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.