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Finding the Fourth Proportional to 75,818.83, 113,728.70 and 33,689.01

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Solution

The fourth proportional to 75,818.83, 113,728.70 and 33,689.01 is: 50,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,818.83 : 113,728.70 = 33,689.01 : x
  2. Step 2: Convert to fraction form
    75,818.83/113,728.70 = 33,689.01/x
  3. Step 3: Cross multiply
    75,818.83x = 113,728.70 × 33,689.01
  4. Step 4: Simplify right side
    75,818.83x = 3,831,407,027.27
  5. Step 5: Solve for x
    x = 3,831,407,027.27/75,818.83
  6. Step 6: Final answer
    x = 50,533.71

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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.