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Finding the Fourth Proportional to 82,287.74, 123,357.69 and 29,684.93

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Solution

The fourth proportional to 82,287.74, 123,357.69 and 29,684.93 is: 44,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,287.74 : 123,357.69 = 29,684.93 : x
  2. Step 2: Convert to fraction form
    82,287.74/123,357.69 = 29,684.93/x
  3. Step 3: Cross multiply
    82,287.74x = 123,357.69 × 29,684.93
  4. Step 4: Simplify right side
    82,287.74x = 3,661,863,775.82
  5. Step 5: Solve for x
    x = 3,661,863,775.82/82,287.74
  6. Step 6: Final answer
    x = 44,500.72

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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.