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Finding the Fourth Proportional to 48,678, 67,182.93 and 29,826.06

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Solution

The fourth proportional to 48,678, 67,182.93 and 29,826.06 is: 41,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678 : 67,182.93 = 29,826.06 : x
  2. Step 2: Convert to fraction form
    48,678/67,182.93 = 29,826.06/x
  3. Step 3: Cross multiply
    48,678x = 67,182.93 × 29,826.06
  4. Step 4: Simplify right side
    48,678x = 2,003,802,101.16
  5. Step 5: Solve for x
    x = 2,003,802,101.16/48,678
  6. Step 6: Final answer
    x = 41,164.43

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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.