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Finding the Fourth Proportional to 48,376.56, 72,509.34 and 20,291.42

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Solution

The fourth proportional to 48,376.56, 72,509.34 and 20,291.42 is: 30,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.56 : 72,509.34 = 20,291.42 : x
  2. Step 2: Convert to fraction form
    48,376.56/72,509.34 = 20,291.42/x
  3. Step 3: Cross multiply
    48,376.56x = 72,509.34 × 20,291.42
  4. Step 4: Simplify right side
    48,376.56x = 1,471,317,471.86
  5. Step 5: Solve for x
    x = 1,471,317,471.86/48,376.56
  6. Step 6: Final answer
    x = 30,413.85

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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.