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Finding the Fourth Proportional to 30,734.70, 42,413.90 and 17,306.04

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Solution

The fourth proportional to 30,734.70, 42,413.90 and 17,306.04 is: 23,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.70 : 42,413.90 = 17,306.04 : x
  2. Step 2: Convert to fraction form
    30,734.70/42,413.90 = 17,306.04/x
  3. Step 3: Cross multiply
    30,734.70x = 42,413.90 × 17,306.04
  4. Step 4: Simplify right side
    30,734.70x = 734,016,649.96
  5. Step 5: Solve for x
    x = 734,016,649.96/30,734.70
  6. Step 6: Final answer
    x = 23,882.34

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