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Finding the Fourth Proportional to 71,899.14, 107,837.03 and 33,948.34

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Solution

The fourth proportional to 71,899.14, 107,837.03 and 33,948.34 is: 50,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,899.14 : 107,837.03 = 33,948.34 : x
  2. Step 2: Convert to fraction form
    71,899.14/107,837.03 = 33,948.34/x
  3. Step 3: Cross multiply
    71,899.14x = 107,837.03 × 33,948.34
  4. Step 4: Simplify right side
    71,899.14x = 3,660,887,719.70
  5. Step 5: Solve for x
    x = 3,660,887,719.70/71,899.14
  6. Step 6: Final answer
    x = 50,916.99

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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.