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Finding the Fourth Proportional to 75,910.50, 113,935.19 and 38,496.39

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Solution

The fourth proportional to 75,910.50, 113,935.19 and 38,496.39 is: 57,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,910.50 : 113,935.19 = 38,496.39 : x
  2. Step 2: Convert to fraction form
    75,910.50/113,935.19 = 38,496.39/x
  3. Step 3: Cross multiply
    75,910.50x = 113,935.19 × 38,496.39
  4. Step 4: Simplify right side
    75,910.50x = 4,386,093,316.48
  5. Step 5: Solve for x
    x = 4,386,093,316.48/75,910.50
  6. Step 6: Final answer
    x = 57,779.80

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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.