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Finding the Fourth Proportional to 32,413.78, 48,620.68 and 10,229.41

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Solution

The fourth proportional to 32,413.78, 48,620.68 and 10,229.41 is: 15,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.78 : 48,620.68 = 10,229.41 : x
  2. Step 2: Convert to fraction form
    32,413.78/48,620.68 = 10,229.41/x
  3. Step 3: Cross multiply
    32,413.78x = 48,620.68 × 10,229.41
  4. Step 4: Simplify right side
    32,413.78x = 497,360,870.20
  5. Step 5: Solve for x
    x = 497,360,870.20/32,413.78
  6. Step 6: Final answer
    x = 15,344.12

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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.