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Finding the Fourth Proportional to 35,496.38, 48,965.56 and 24,724.19

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Solution

The fourth proportional to 35,496.38, 48,965.56 and 24,724.19 is: 34,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496.38 : 48,965.56 = 24,724.19 : x
  2. Step 2: Convert to fraction form
    35,496.38/48,965.56 = 24,724.19/x
  3. Step 3: Cross multiply
    35,496.38x = 48,965.56 × 24,724.19
  4. Step 4: Simplify right side
    35,496.38x = 1,210,633,733.14
  5. Step 5: Solve for x
    x = 1,210,633,733.14/35,496.38
  6. Step 6: Final answer
    x = 34,105.84

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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.