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Finding the Fourth Proportional to 83,553.13, 125,298.50 and 33,616.36

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Solution

The fourth proportional to 83,553.13, 125,298.50 and 33,616.36 is: 50,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553.13 : 125,298.50 = 33,616.36 : x
  2. Step 2: Convert to fraction form
    83,553.13/125,298.50 = 33,616.36/x
  3. Step 3: Cross multiply
    83,553.13x = 125,298.50 × 33,616.36
  4. Step 4: Simplify right side
    83,553.13x = 4,212,079,254.25
  5. Step 5: Solve for x
    x = 4,212,079,254.25/83,553.13
  6. Step 6: Final answer
    x = 50,411.99

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