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Finding the Fourth Proportional to 49,345.82, 68,092.83 and 27,837.14

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Solution

The fourth proportional to 49,345.82, 68,092.83 and 27,837.14 is: 38,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,345.82 : 68,092.83 = 27,837.14 : x
  2. Step 2: Convert to fraction form
    49,345.82/68,092.83 = 27,837.14/x
  3. Step 3: Cross multiply
    49,345.82x = 68,092.83 × 27,837.14
  4. Step 4: Simplify right side
    49,345.82x = 1,895,509,641.71
  5. Step 5: Solve for x
    x = 1,895,509,641.71/49,345.82
  6. Step 6: Final answer
    x = 38,412.77

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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.