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Finding the Fourth Proportional to 35,930.70, 49,585.90 and 20,015.16

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Solution

The fourth proportional to 35,930.70, 49,585.90 and 20,015.16 is: 27,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.70 : 49,585.90 = 20,015.16 : x
  2. Step 2: Convert to fraction form
    35,930.70/49,585.90 = 20,015.16/x
  3. Step 3: Cross multiply
    35,930.70x = 49,585.90 × 20,015.16
  4. Step 4: Simplify right side
    35,930.70x = 992,469,424.28
  5. Step 5: Solve for x
    x = 992,469,424.28/35,930.70
  6. Step 6: Final answer
    x = 27,621.77

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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.