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Finding the Fourth Proportional to 83,365.20, 115,041 and 47,566.64

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Solution

The fourth proportional to 83,365.20, 115,041 and 47,566.64 is: 65,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,365.20 : 115,041 = 47,566.64 : x
  2. Step 2: Convert to fraction form
    83,365.20/115,041 = 47,566.64/x
  3. Step 3: Cross multiply
    83,365.20x = 115,041 × 47,566.64
  4. Step 4: Simplify right side
    83,365.20x = 5,472,113,832.24
  5. Step 5: Solve for x
    x = 5,472,113,832.24/83,365.20
  6. Step 6: Final answer
    x = 65,640.27

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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.