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Finding the Fourth Proportional to 75,813.54, 113,718.75 and 33,682.20

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Solution

The fourth proportional to 75,813.54, 113,718.75 and 33,682.20 is: 50,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813.54 : 113,718.75 = 33,682.20 : x
  2. Step 2: Convert to fraction form
    75,813.54/113,718.75 = 33,682.20/x
  3. Step 3: Cross multiply
    75,813.54x = 113,718.75 × 33,682.20
  4. Step 4: Simplify right side
    75,813.54x = 3,830,297,681.25
  5. Step 5: Solve for x
    x = 3,830,297,681.25/75,813.54
  6. Step 6: Final answer
    x = 50,522.61

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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.