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Finding the Fourth Proportional to 50,275.44, 69,378.84 and 27,918

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Solution

The fourth proportional to 50,275.44, 69,378.84 and 27,918 is: 38,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,275.44 : 69,378.84 = 27,918 : x
  2. Step 2: Convert to fraction form
    50,275.44/69,378.84 = 27,918/x
  3. Step 3: Cross multiply
    50,275.44x = 69,378.84 × 27,918
  4. Step 4: Simplify right side
    50,275.44x = 1,936,918,455.12
  5. Step 5: Solve for x
    x = 1,936,918,455.12/50,275.44
  6. Step 6: Final answer
    x = 38,526.14

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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.