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Finding the Fourth Proportional to 83,101.14, 124,722.18 and 33,216.48

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Solution

The fourth proportional to 83,101.14, 124,722.18 and 33,216.48 is: 49,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.14 : 124,722.18 = 33,216.48 : x
  2. Step 2: Convert to fraction form
    83,101.14/124,722.18 = 33,216.48/x
  3. Step 3: Cross multiply
    83,101.14x = 124,722.18 × 33,216.48
  4. Step 4: Simplify right side
    83,101.14x = 4,142,831,797.53
  5. Step 5: Solve for x
    x = 4,142,831,797.53/83,101.14
  6. Step 6: Final answer
    x = 49,852.89

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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.