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Finding the Fourth Proportional to 75,708.83, 113,588.51 and 33,583.10

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Solution

The fourth proportional to 75,708.83, 113,588.51 and 33,583.10 is: 50,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708.83 : 113,588.51 = 33,583.10 : x
  2. Step 2: Convert to fraction form
    75,708.83/113,588.51 = 33,583.10/x
  3. Step 3: Cross multiply
    75,708.83x = 113,588.51 × 33,583.10
  4. Step 4: Simplify right side
    75,708.83x = 3,814,653,806.20
  5. Step 5: Solve for x
    x = 3,814,653,806.20/75,708.83
  6. Step 6: Final answer
    x = 50,385.85

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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.