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Finding the Fourth Proportional to 83,777, 115,612.50 and 47,967.56

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Solution

The fourth proportional to 83,777, 115,612.50 and 47,967.56 is: 66,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,777 : 115,612.50 = 47,967.56 : x
  2. Step 2: Convert to fraction form
    83,777/115,612.50 = 47,967.56/x
  3. Step 3: Cross multiply
    83,777x = 115,612.50 × 47,967.56
  4. Step 4: Simplify right side
    83,777x = 5,545,649,530.50
  5. Step 5: Solve for x
    x = 5,545,649,530.50/83,777
  6. Step 6: Final answer
    x = 66,195.37

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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.