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Finding the Fourth Proportional to 52,453.86, 78,587.50 and 30,221.30

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Solution

The fourth proportional to 52,453.86, 78,587.50 and 30,221.30 is: 45,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.86 : 78,587.50 = 30,221.30 : x
  2. Step 2: Convert to fraction form
    52,453.86/78,587.50 = 30,221.30/x
  3. Step 3: Cross multiply
    52,453.86x = 78,587.50 × 30,221.30
  4. Step 4: Simplify right side
    52,453.86x = 2,375,016,413.75
  5. Step 5: Solve for x
    x = 2,375,016,413.75/52,453.86
  6. Step 6: Final answer
    x = 45,278.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.