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Finding the Fourth Proportional to 35,082.50, 48,413.85 and 20,178.50

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Solution

The fourth proportional to 35,082.50, 48,413.85 and 20,178.50 is: 27,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.50 : 48,413.85 = 20,178.50 : x
  2. Step 2: Convert to fraction form
    35,082.50/48,413.85 = 20,178.50/x
  3. Step 3: Cross multiply
    35,082.50x = 48,413.85 × 20,178.50
  4. Step 4: Simplify right side
    35,082.50x = 976,918,872.23
  5. Step 5: Solve for x
    x = 976,918,872.23/35,082.50
  6. Step 6: Final answer
    x = 27,846.33

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1.5x scale

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.