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Finding the Fourth Proportional to 55,057.50, 75,979.44 and 29,907

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Solution

The fourth proportional to 55,057.50, 75,979.44 and 29,907 is: 41,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057.50 : 75,979.44 = 29,907 : x
  2. Step 2: Convert to fraction form
    55,057.50/75,979.44 = 29,907/x
  3. Step 3: Cross multiply
    55,057.50x = 75,979.44 × 29,907
  4. Step 4: Simplify right side
    55,057.50x = 2,272,317,112.08
  5. Step 5: Solve for x
    x = 2,272,317,112.08/55,057.50
  6. Step 6: Final answer
    x = 41,271.71

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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.