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Finding the Fourth Proportional to 50,387.64, 69,535.58 and 27,729.24

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Solution

The fourth proportional to 50,387.64, 69,535.58 and 27,729.24 is: 38,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,387.64 : 69,535.58 = 27,729.24 : x
  2. Step 2: Convert to fraction form
    50,387.64/69,535.58 = 27,729.24/x
  3. Step 3: Cross multiply
    50,387.64x = 69,535.58 × 27,729.24
  4. Step 4: Simplify right side
    50,387.64x = 1,928,168,647.71
  5. Step 5: Solve for x
    x = 1,928,168,647.71/50,387.64
  6. Step 6: Final answer
    x = 38,266.70

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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.