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Finding the Fourth Proportional to 49,341.60, 68,092.13 and 27,832.37

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Solution

The fourth proportional to 49,341.60, 68,092.13 and 27,832.37 is: 38,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341.60 : 68,092.13 = 27,832.37 : x
  2. Step 2: Convert to fraction form
    49,341.60/68,092.13 = 27,832.37/x
  3. Step 3: Cross multiply
    49,341.60x = 68,092.13 × 27,832.37
  4. Step 4: Simplify right side
    49,341.60x = 1,895,165,387.32
  5. Step 5: Solve for x
    x = 1,895,165,387.32/49,341.60
  6. Step 6: Final answer
    x = 38,409.08

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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.