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Finding the Fourth Proportional to 35,956.64, 49,621.20 and 20,043.20

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Solution

The fourth proportional to 35,956.64, 49,621.20 and 20,043.20 is: 27,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,956.64 : 49,621.20 = 20,043.20 : x
  2. Step 2: Convert to fraction form
    35,956.64/49,621.20 = 20,043.20/x
  3. Step 3: Cross multiply
    35,956.64x = 49,621.20 × 20,043.20
  4. Step 4: Simplify right side
    35,956.64x = 994,567,635.84
  5. Step 5: Solve for x
    x = 994,567,635.84/35,956.64
  6. Step 6: Final answer
    x = 27,660.19

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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.