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Finding the Fourth Proportional to 38,039.63, 52,494.89 and 22,134.87

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Solution

The fourth proportional to 38,039.63, 52,494.89 and 22,134.87 is: 30,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039.63 : 52,494.89 = 22,134.87 : x
  2. Step 2: Convert to fraction form
    38,039.63/52,494.89 = 22,134.87/x
  3. Step 3: Cross multiply
    38,039.63x = 52,494.89 × 22,134.87
  4. Step 4: Simplify right side
    38,039.63x = 1,161,967,455.14
  5. Step 5: Solve for x
    x = 1,161,967,455.14/38,039.63
  6. Step 6: Final answer
    x = 30,546.24

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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.