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Finding the Fourth Proportional to 83,840.82, 115,695.18 and 48,022.62

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Solution

The fourth proportional to 83,840.82, 115,695.18 and 48,022.62 is: 66,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840.82 : 115,695.18 = 48,022.62 : x
  2. Step 2: Convert to fraction form
    83,840.82/115,695.18 = 48,022.62/x
  3. Step 3: Cross multiply
    83,840.82x = 115,695.18 × 48,022.62
  4. Step 4: Simplify right side
    83,840.82x = 5,555,985,664.97
  5. Step 5: Solve for x
    x = 5,555,985,664.97/83,840.82
  6. Step 6: Final answer
    x = 66,268.26

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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.