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Finding the Fourth Proportional to 82,823.31, 114,266.15 and 46,992.57

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Solution

The fourth proportional to 82,823.31, 114,266.15 and 46,992.57 is: 64,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,823.31 : 114,266.15 = 46,992.57 : x
  2. Step 2: Convert to fraction form
    82,823.31/114,266.15 = 46,992.57/x
  3. Step 3: Cross multiply
    82,823.31x = 114,266.15 × 46,992.57
  4. Step 4: Simplify right side
    82,823.31x = 5,369,659,565.27
  5. Step 5: Solve for x
    x = 5,369,659,565.27/82,823.31
  6. Step 6: Final answer
    x = 64,832.71

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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.