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Finding the Fourth Proportional to 83,614.08, 125,395.84 and 33,678.08

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Solution

The fourth proportional to 83,614.08, 125,395.84 and 33,678.08 is: 50,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614.08 : 125,395.84 = 33,678.08 : x
  2. Step 2: Convert to fraction form
    83,614.08/125,395.84 = 33,678.08/x
  3. Step 3: Cross multiply
    83,614.08x = 125,395.84 × 33,678.08
  4. Step 4: Simplify right side
    83,614.08x = 4,223,091,131.19
  5. Step 5: Solve for x
    x = 4,223,091,131.19/83,614.08
  6. Step 6: Final answer
    x = 50,506.94

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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.