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Finding the Fourth Proportional to 82,057.47, 123,106.96 and 22,893.09

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Solution

The fourth proportional to 82,057.47, 123,106.96 and 22,893.09 is: 34,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.47 : 123,106.96 = 22,893.09 : x
  2. Step 2: Convert to fraction form
    82,057.47/123,106.96 = 22,893.09/x
  3. Step 3: Cross multiply
    82,057.47x = 123,106.96 × 22,893.09
  4. Step 4: Simplify right side
    82,057.47x = 2,818,298,714.91
  5. Step 5: Solve for x
    x = 2,818,298,714.91/82,057.47
  6. Step 6: Final answer
    x = 34,345.43

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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.