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Finding the Fourth Proportional to 64,443.26, 96,652.37 and 32,413.79

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Solution

The fourth proportional to 64,443.26, 96,652.37 and 32,413.79 is: 48,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,443.26 : 96,652.37 = 32,413.79 : x
  2. Step 2: Convert to fraction form
    64,443.26/96,652.37 = 32,413.79/x
  3. Step 3: Cross multiply
    64,443.26x = 96,652.37 × 32,413.79
  4. Step 4: Simplify right side
    64,443.26x = 3,132,869,589.96
  5. Step 5: Solve for x
    x = 3,132,869,589.96/64,443.26
  6. Step 6: Final answer
    x = 48,614.39

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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.