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Finding the Fourth Proportional to 83,783.97, 125,703.90 and 33,837.14

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Solution

The fourth proportional to 83,783.97, 125,703.90 and 33,837.14 is: 50,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.97 : 125,703.90 = 33,837.14 : x
  2. Step 2: Convert to fraction form
    83,783.97/125,703.90 = 33,837.14/x
  3. Step 3: Cross multiply
    83,783.97x = 125,703.90 × 33,837.14
  4. Step 4: Simplify right side
    83,783.97x = 4,253,460,777.11
  5. Step 5: Solve for x
    x = 4,253,460,777.11/83,783.97
  6. Step 6: Final answer
    x = 50,767.00

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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.