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Finding the Fourth Proportional to 38,813.63, 53,562.80 and 22,049.87

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Solution

The fourth proportional to 38,813.63, 53,562.80 and 22,049.87 is: 30,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813.63 : 53,562.80 = 22,049.87 : x
  2. Step 2: Convert to fraction form
    38,813.63/53,562.80 = 22,049.87/x
  3. Step 3: Cross multiply
    38,813.63x = 53,562.80 × 22,049.87
  4. Step 4: Simplify right side
    38,813.63x = 1,181,052,564.15
  5. Step 5: Solve for x
    x = 1,181,052,564.15/38,813.63
  6. Step 6: Final answer
    x = 30,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.