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Finding the Fourth Proportional to 89,413.08, 123,389.41 and 48,577

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Solution

The fourth proportional to 89,413.08, 123,389.41 and 48,577 is: 67,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,413.08 : 123,389.41 = 48,577 : x
  2. Step 2: Convert to fraction form
    89,413.08/123,389.41 = 48,577/x
  3. Step 3: Cross multiply
    89,413.08x = 123,389.41 × 48,577
  4. Step 4: Simplify right side
    89,413.08x = 5,993,887,369.57
  5. Step 5: Solve for x
    x = 5,993,887,369.57/89,413.08
  6. Step 6: Final answer
    x = 67,035.91

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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.