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Finding the Fourth Proportional to 49,345.32, 68,092.14 and 27,836.64

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Solution

The fourth proportional to 49,345.32, 68,092.14 and 27,836.64 is: 38,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,345.32 : 68,092.14 = 27,836.64 : x
  2. Step 2: Convert to fraction form
    49,345.32/68,092.14 = 27,836.64/x
  3. Step 3: Cross multiply
    49,345.32x = 68,092.14 × 27,836.64
  4. Step 4: Simplify right side
    49,345.32x = 1,895,456,388.01
  5. Step 5: Solve for x
    x = 1,895,456,388.01/49,345.32
  6. Step 6: Final answer
    x = 38,412.08

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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.