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Finding the Fourth Proportional to 71,633.88, 107,413.88 and 32,157.14

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Solution

The fourth proportional to 71,633.88, 107,413.88 and 32,157.14 is: 48,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.88 : 107,413.88 = 32,157.14 : x
  2. Step 2: Convert to fraction form
    71,633.88/107,413.88 = 32,157.14/x
  3. Step 3: Cross multiply
    71,633.88x = 107,413.88 × 32,157.14
  4. Step 4: Simplify right side
    71,633.88x = 3,454,122,479.25
  5. Step 5: Solve for x
    x = 3,454,122,479.25/71,633.88
  6. Step 6: Final answer
    x = 48,219.12

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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.