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Finding the Fourth Proportional to 50,037.12, 69,047.04 and 27,680.64

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Solution

The fourth proportional to 50,037.12, 69,047.04 and 27,680.64 is: 38,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,037.12 : 69,047.04 = 27,680.64 : x
  2. Step 2: Convert to fraction form
    50,037.12/69,047.04 = 27,680.64/x
  3. Step 3: Cross multiply
    50,037.12x = 69,047.04 × 27,680.64
  4. Step 4: Simplify right side
    50,037.12x = 1,911,266,257.31
  5. Step 5: Solve for x
    x = 1,911,266,257.31/50,037.12
  6. Step 6: Final answer
    x = 38,196.97

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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.