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Finding the Fourth Proportional to 32,901.47, 49,351.39 and 10,413.71

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Solution

The fourth proportional to 32,901.47, 49,351.39 and 10,413.71 is: 15,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.47 : 49,351.39 = 10,413.71 : x
  2. Step 2: Convert to fraction form
    32,901.47/49,351.39 = 10,413.71/x
  3. Step 3: Cross multiply
    32,901.47x = 49,351.39 × 10,413.71
  4. Step 4: Simplify right side
    32,901.47x = 513,930,790.77
  5. Step 5: Solve for x
    x = 513,930,790.77/32,901.47
  6. Step 6: Final answer
    x = 15,620.30

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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.