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Finding the Fourth Proportional to 50,097.68, 69,136.36 and 27,743.76

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Solution

The fourth proportional to 50,097.68, 69,136.36 and 27,743.76 is: 38,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097.68 : 69,136.36 = 27,743.76 : x
  2. Step 2: Convert to fraction form
    50,097.68/69,136.36 = 27,743.76/x
  3. Step 3: Cross multiply
    50,097.68x = 69,136.36 × 27,743.76
  4. Step 4: Simplify right side
    50,097.68x = 1,918,102,579.11
  5. Step 5: Solve for x
    x = 1,918,102,579.11/50,097.68
  6. Step 6: Final answer
    x = 38,287.25

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1.5x scale

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.