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Finding the Fourth Proportional to 83,427.57, 115,138.29 and 47,622.96

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Solution

The fourth proportional to 83,427.57, 115,138.29 and 47,622.96 is: 65,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.57 : 115,138.29 = 47,622.96 : x
  2. Step 2: Convert to fraction form
    83,427.57/115,138.29 = 47,622.96/x
  3. Step 3: Cross multiply
    83,427.57x = 115,138.29 × 47,622.96
  4. Step 4: Simplify right side
    83,427.57x = 5,483,226,357.72
  5. Step 5: Solve for x
    x = 5,483,226,357.72/83,427.57
  6. Step 6: Final answer
    x = 65,724.39

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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.