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Finding the Fourth Proportional to 83,225.56, 114,851.37 and 45,499.81

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Solution

The fourth proportional to 83,225.56, 114,851.37 and 45,499.81 is: 62,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.56 : 114,851.37 = 45,499.81 : x
  2. Step 2: Convert to fraction form
    83,225.56/114,851.37 = 45,499.81/x
  3. Step 3: Cross multiply
    83,225.56x = 114,851.37 × 45,499.81
  4. Step 4: Simplify right side
    83,225.56x = 5,225,715,513.24
  5. Step 5: Solve for x
    x = 5,225,715,513.24/83,225.56
  6. Step 6: Final answer
    x = 62,789.79

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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.