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Finding the Fourth Proportional to 32,413.84, 48,626.24 and 10,226.73

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Solution

The fourth proportional to 32,413.84, 48,626.24 and 10,226.73 is: 15,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.84 : 48,626.24 = 10,226.73 : x
  2. Step 2: Convert to fraction form
    32,413.84/48,626.24 = 10,226.73/x
  3. Step 3: Cross multiply
    32,413.84x = 48,626.24 × 10,226.73
  4. Step 4: Simplify right side
    32,413.84x = 497,287,427.40
  5. Step 5: Solve for x
    x = 497,287,427.40/32,413.84
  6. Step 6: Final answer
    x = 15,341.82

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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.