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Finding the Fourth Proportional to 83,495.56, 115,231.14 and 45,777

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Solution

The fourth proportional to 83,495.56, 115,231.14 and 45,777 is: 63,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495.56 : 115,231.14 = 45,777 : x
  2. Step 2: Convert to fraction form
    83,495.56/115,231.14 = 45,777/x
  3. Step 3: Cross multiply
    83,495.56x = 115,231.14 × 45,777
  4. Step 4: Simplify right side
    83,495.56x = 5,274,935,895.78
  5. Step 5: Solve for x
    x = 5,274,935,895.78/83,495.56
  6. Step 6: Final answer
    x = 63,176.24

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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.