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Finding the Fourth Proportional to 89,263.65, 123,183.84 and 51,024

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Solution

The fourth proportional to 89,263.65, 123,183.84 and 51,024 is: 70,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,263.65 : 123,183.84 = 51,024 : x
  2. Step 2: Convert to fraction form
    89,263.65/123,183.84 = 51,024/x
  3. Step 3: Cross multiply
    89,263.65x = 123,183.84 × 51,024
  4. Step 4: Simplify right side
    89,263.65x = 6,285,332,252.16
  5. Step 5: Solve for x
    x = 6,285,332,252.16/89,263.65
  6. Step 6: Final answer
    x = 70,413.12

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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.