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Finding the Fourth Proportional to 38,425.86, 53,028.81 and 22,508.82

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Solution

The fourth proportional to 38,425.86, 53,028.81 and 22,508.82 is: 31,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.86 : 53,028.81 = 22,508.82 : x
  2. Step 2: Convert to fraction form
    38,425.86/53,028.81 = 22,508.82/x
  3. Step 3: Cross multiply
    38,425.86x = 53,028.81 × 22,508.82
  4. Step 4: Simplify right side
    38,425.86x = 1,193,615,939.10
  5. Step 5: Solve for x
    x = 1,193,615,939.10/38,425.86
  6. Step 6: Final answer
    x = 31,062.83

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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.