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Finding the Fourth Proportional to 38,022.84, 57,034.35 and 22,429.50

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Solution

The fourth proportional to 38,022.84, 57,034.35 and 22,429.50 is: 33,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.84 : 57,034.35 = 22,429.50 : x
  2. Step 2: Convert to fraction form
    38,022.84/57,034.35 = 22,429.50/x
  3. Step 3: Cross multiply
    38,022.84x = 57,034.35 × 22,429.50
  4. Step 4: Simplify right side
    38,022.84x = 1,279,251,953.33
  5. Step 5: Solve for x
    x = 1,279,251,953.33/38,022.84
  6. Step 6: Final answer
    x = 33,644.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.