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Finding the Fourth Proportional to 53,105.16, 73,284.56 and 29,231.32

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Solution

The fourth proportional to 53,105.16, 73,284.56 and 29,231.32 is: 40,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,105.16 : 73,284.56 = 29,231.32 : x
  2. Step 2: Convert to fraction form
    53,105.16/73,284.56 = 29,231.32/x
  3. Step 3: Cross multiply
    53,105.16x = 73,284.56 × 29,231.32
  4. Step 4: Simplify right side
    53,105.16x = 2,142,204,424.42
  5. Step 5: Solve for x
    x = 2,142,204,424.42/53,105.16
  6. Step 6: Final answer
    x = 40,338.91

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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.