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Finding the Fourth Proportional to 82,282.15, 123,324 and 37,847.98

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Solution

The fourth proportional to 82,282.15, 123,324 and 37,847.98 is: 56,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282.15 : 123,324 = 37,847.98 : x
  2. Step 2: Convert to fraction form
    82,282.15/123,324 = 37,847.98/x
  3. Step 3: Cross multiply
    82,282.15x = 123,324 × 37,847.98
  4. Step 4: Simplify right side
    82,282.15x = 4,667,564,285.52
  5. Step 5: Solve for x
    x = 4,667,564,285.52/82,282.15
  6. Step 6: Final answer
    x = 56,726.33

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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.