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Finding the Fourth Proportional to 50,296.74, 69,410.99 and 27,637.14

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Solution

The fourth proportional to 50,296.74, 69,410.99 and 27,637.14 is: 38,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.74 : 69,410.99 = 27,637.14 : x
  2. Step 2: Convert to fraction form
    50,296.74/69,410.99 = 27,637.14/x
  3. Step 3: Cross multiply
    50,296.74x = 69,410.99 × 27,637.14
  4. Step 4: Simplify right side
    50,296.74x = 1,918,321,248.17
  5. Step 5: Solve for x
    x = 1,918,321,248.17/50,296.74
  6. Step 6: Final answer
    x = 38,140.07

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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.