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Finding the Fourth Proportional to 82,551.42, 113,922.18 and 46,740.42

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Solution

The fourth proportional to 82,551.42, 113,922.18 and 46,740.42 is: 64,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,551.42 : 113,922.18 = 46,740.42 : x
  2. Step 2: Convert to fraction form
    82,551.42/113,922.18 = 46,740.42/x
  3. Step 3: Cross multiply
    82,551.42x = 113,922.18 × 46,740.42
  4. Step 4: Simplify right side
    82,551.42x = 5,324,770,540.52
  5. Step 5: Solve for x
    x = 5,324,770,540.52/82,551.42
  6. Step 6: Final answer
    x = 64,502.47

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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.