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Finding the Fourth Proportional to 67,833.60, 101,710.44 and 27,840.66

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Solution

The fourth proportional to 67,833.60, 101,710.44 and 27,840.66 is: 41,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,833.60 : 101,710.44 = 27,840.66 : x
  2. Step 2: Convert to fraction form
    67,833.60/101,710.44 = 27,840.66/x
  3. Step 3: Cross multiply
    67,833.60x = 101,710.44 × 27,840.66
  4. Step 4: Simplify right side
    67,833.60x = 2,831,685,778.49
  5. Step 5: Solve for x
    x = 2,831,685,778.49/67,833.60
  6. Step 6: Final answer
    x = 41,744.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.