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Finding the Fourth Proportional to 82,646.74, 123,920.83 and 32,734

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Solution

The fourth proportional to 82,646.74, 123,920.83 and 32,734 is: 49,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.74 : 123,920.83 = 32,734 : x
  2. Step 2: Convert to fraction form
    82,646.74/123,920.83 = 32,734/x
  3. Step 3: Cross multiply
    82,646.74x = 123,920.83 × 32,734
  4. Step 4: Simplify right side
    82,646.74x = 4,056,424,449.22
  5. Step 5: Solve for x
    x = 4,056,424,449.22/82,646.74
  6. Step 6: Final answer
    x = 49,081.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.