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Finding the Fourth Proportional to 83,427.44, 115,138.12 and 47,622.83

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Solution

The fourth proportional to 83,427.44, 115,138.12 and 47,622.83 is: 65,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.44 : 115,138.12 = 47,622.83 : x
  2. Step 2: Convert to fraction form
    83,427.44/115,138.12 = 47,622.83/x
  3. Step 3: Cross multiply
    83,427.44x = 115,138.12 × 47,622.83
  4. Step 4: Simplify right side
    83,427.44x = 5,483,203,115.28
  5. Step 5: Solve for x
    x = 5,483,203,115.28/83,427.44
  6. Step 6: Final answer
    x = 65,724.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.