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Finding the Fourth Proportional to 42,002.10, 63,003.15 and 25,413.30

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Solution

The fourth proportional to 42,002.10, 63,003.15 and 25,413.30 is: 38,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002.10 : 63,003.15 = 25,413.30 : x
  2. Step 2: Convert to fraction form
    42,002.10/63,003.15 = 25,413.30/x
  3. Step 3: Cross multiply
    42,002.10x = 63,003.15 × 25,413.30
  4. Step 4: Simplify right side
    42,002.10x = 1,601,117,951.90
  5. Step 5: Solve for x
    x = 1,601,117,951.90/42,002.10
  6. Step 6: Final answer
    x = 38,119.95

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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.