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Finding the Fourth Proportional to 82,057.82, 123,102.16 and 56,519.93

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Solution

The fourth proportional to 82,057.82, 123,102.16 and 56,519.93 is: 84,790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.82 : 123,102.16 = 56,519.93 : x
  2. Step 2: Convert to fraction form
    82,057.82/123,102.16 = 56,519.93/x
  3. Step 3: Cross multiply
    82,057.82x = 123,102.16 × 56,519.93
  4. Step 4: Simplify right side
    82,057.82x = 6,957,725,632.50
  5. Step 5: Solve for x
    x = 6,957,725,632.50/82,057.82
  6. Step 6: Final answer
    x = 84,790.53

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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.