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Finding the Fourth Proportional to 30,488.78, 42,024.19 and 20,413.66

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Solution

The fourth proportional to 30,488.78, 42,024.19 and 20,413.66 is: 28,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.78 : 42,024.19 = 20,413.66 : x
  2. Step 2: Convert to fraction form
    30,488.78/42,024.19 = 20,413.66/x
  3. Step 3: Cross multiply
    30,488.78x = 42,024.19 × 20,413.66
  4. Step 4: Simplify right side
    30,488.78x = 857,867,526.44
  5. Step 5: Solve for x
    x = 857,867,526.44/30,488.78
  6. Step 6: Final answer
    x = 28,137.15

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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.