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Finding the Fourth Proportional to 53,499.68, 73,832.28 and 29,629

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Solution

The fourth proportional to 53,499.68, 73,832.28 and 29,629 is: 40,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,499.68 : 73,832.28 = 29,629 : x
  2. Step 2: Convert to fraction form
    53,499.68/73,832.28 = 29,629/x
  3. Step 3: Cross multiply
    53,499.68x = 73,832.28 × 29,629
  4. Step 4: Simplify right side
    53,499.68x = 2,187,576,624.12
  5. Step 5: Solve for x
    x = 2,187,576,624.12/53,499.68
  6. Step 6: Final answer
    x = 40,889.53

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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.