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Finding the Fourth Proportional to 38,507.58, 53,118.27 and 23,183.47

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Solution

The fourth proportional to 38,507.58, 53,118.27 and 23,183.47 is: 31,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.58 : 53,118.27 = 23,183.47 : x
  2. Step 2: Convert to fraction form
    38,507.58/53,118.27 = 23,183.47/x
  3. Step 3: Cross multiply
    38,507.58x = 53,118.27 × 23,183.47
  4. Step 4: Simplify right side
    38,507.58x = 1,231,465,819.00
  5. Step 5: Solve for x
    x = 1,231,465,819.00/38,507.58
  6. Step 6: Final answer
    x = 31,979.83

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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.