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Finding the Fourth Proportional to 35,082.99, 48,413.84 and 19,769.67

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Solution

The fourth proportional to 35,082.99, 48,413.84 and 19,769.67 is: 27,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.99 : 48,413.84 = 19,769.67 : x
  2. Step 2: Convert to fraction form
    35,082.99/48,413.84 = 19,769.67/x
  3. Step 3: Cross multiply
    35,082.99x = 48,413.84 × 19,769.67
  4. Step 4: Simplify right side
    35,082.99x = 957,125,541.38
  5. Step 5: Solve for x
    x = 957,125,541.38/35,082.99
  6. Step 6: Final answer
    x = 27,281.76

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Why These Related Problems?

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