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Finding the Fourth Proportional to 32,143.76, 48,223.34 and 13,413.38

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Solution

The fourth proportional to 32,143.76, 48,223.34 and 13,413.38 is: 20,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.76 : 48,223.34 = 13,413.38 : x
  2. Step 2: Convert to fraction form
    32,143.76/48,223.34 = 13,413.38/x
  3. Step 3: Cross multiply
    32,143.76x = 48,223.34 × 13,413.38
  4. Step 4: Simplify right side
    32,143.76x = 646,837,957.54
  5. Step 5: Solve for x
    x = 646,837,957.54/32,143.76
  6. Step 6: Final answer
    x = 20,123.28

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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.