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Finding the Fourth Proportional to 82,023.40, 123,053.10 and 32,103.40

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Solution

The fourth proportional to 82,023.40, 123,053.10 and 32,103.40 is: 48,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.40 : 123,053.10 = 32,103.40 : x
  2. Step 2: Convert to fraction form
    82,023.40/123,053.10 = 32,103.40/x
  3. Step 3: Cross multiply
    82,023.40x = 123,053.10 × 32,103.40
  4. Step 4: Simplify right side
    82,023.40x = 3,950,422,890.54
  5. Step 5: Solve for x
    x = 3,950,422,890.54/82,023.40
  6. Step 6: Final answer
    x = 48,162.15

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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.