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Finding the Fourth Proportional to 38,413.36, 57,627.84 and 16,226.80

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Solution

The fourth proportional to 38,413.36, 57,627.84 and 16,226.80 is: 24,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.36 : 57,627.84 = 16,226.80 : x
  2. Step 2: Convert to fraction form
    38,413.36/57,627.84 = 16,226.80/x
  3. Step 3: Cross multiply
    38,413.36x = 57,627.84 × 16,226.80
  4. Step 4: Simplify right side
    38,413.36x = 935,115,434.11
  5. Step 5: Solve for x
    x = 935,115,434.11/38,413.36
  6. Step 6: Final answer
    x = 24,343.49

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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.