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Finding the Fourth Proportional to 75,483.16, 113,224.74 and 33,881.56

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Solution

The fourth proportional to 75,483.16, 113,224.74 and 33,881.56 is: 50,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,483.16 : 113,224.74 = 33,881.56 : x
  2. Step 2: Convert to fraction form
    75,483.16/113,224.74 = 33,881.56/x
  3. Step 3: Cross multiply
    75,483.16x = 113,224.74 × 33,881.56
  4. Step 4: Simplify right side
    75,483.16x = 3,836,230,821.79
  5. Step 5: Solve for x
    x = 3,836,230,821.79/75,483.16
  6. Step 6: Final answer
    x = 50,822.34

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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.