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Finding the Fourth Proportional to 38,269.97, 52,821.12 and 21,280.17

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Solution

The fourth proportional to 38,269.97, 52,821.12 and 21,280.17 is: 29,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.97 : 52,821.12 = 21,280.17 : x
  2. Step 2: Convert to fraction form
    38,269.97/52,821.12 = 21,280.17/x
  3. Step 3: Cross multiply
    38,269.97x = 52,821.12 × 21,280.17
  4. Step 4: Simplify right side
    38,269.97x = 1,124,042,413.19
  5. Step 5: Solve for x
    x = 1,124,042,413.19/38,269.97
  6. Step 6: Final answer
    x = 29,371.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.