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Finding the Fourth Proportional to 35,305.26, 48,732.18 and 22,730

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Solution

The fourth proportional to 35,305.26, 48,732.18 and 22,730 is: 31,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.26 : 48,732.18 = 22,730 : x
  2. Step 2: Convert to fraction form
    35,305.26/48,732.18 = 22,730/x
  3. Step 3: Cross multiply
    35,305.26x = 48,732.18 × 22,730
  4. Step 4: Simplify right side
    35,305.26x = 1,107,682,451.40
  5. Step 5: Solve for x
    x = 1,107,682,451.40/35,305.26
  6. Step 6: Final answer
    x = 31,374.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.