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Finding the Fourth Proportional to 38,795.86, 53,538.34 and 22,028.86

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Solution

The fourth proportional to 38,795.86, 53,538.34 and 22,028.86 is: 30,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,795.86 : 53,538.34 = 22,028.86 : x
  2. Step 2: Convert to fraction form
    38,795.86/53,538.34 = 22,028.86/x
  3. Step 3: Cross multiply
    38,795.86x = 53,538.34 × 22,028.86
  4. Step 4: Simplify right side
    38,795.86x = 1,179,388,328.80
  5. Step 5: Solve for x
    x = 1,179,388,328.80/38,795.86
  6. Step 6: Final answer
    x = 30,399.85

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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.