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Finding the Fourth Proportional to 35,952.28, 49,614.40 and 20,037.76

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Solution

The fourth proportional to 35,952.28, 49,614.40 and 20,037.76 is: 27,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952.28 : 49,614.40 = 20,037.76 : x
  2. Step 2: Convert to fraction form
    35,952.28/49,614.40 = 20,037.76/x
  3. Step 3: Cross multiply
    35,952.28x = 49,614.40 × 20,037.76
  4. Step 4: Simplify right side
    35,952.28x = 994,161,439.74
  5. Step 5: Solve for x
    x = 994,161,439.74/35,952.28
  6. Step 6: Final answer
    x = 27,652.25

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