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Finding the Fourth Proportional to 75,713.22, 113,516.78 and 33,570.54

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Solution

The fourth proportional to 75,713.22, 113,516.78 and 33,570.54 is: 50,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,713.22 : 113,516.78 = 33,570.54 : x
  2. Step 2: Convert to fraction form
    75,713.22/113,516.78 = 33,570.54/x
  3. Step 3: Cross multiply
    75,713.22x = 113,516.78 × 33,570.54
  4. Step 4: Simplify right side
    75,713.22x = 3,810,819,603.66
  5. Step 5: Solve for x
    x = 3,810,819,603.66/75,713.22
  6. Step 6: Final answer
    x = 50,332.29

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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.