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Finding the Fourth Proportional to 38,273.64, 57,434.04 and 24,214.30

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Solution

The fourth proportional to 38,273.64, 57,434.04 and 24,214.30 is: 36,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,273.64 : 57,434.04 = 24,214.30 : x
  2. Step 2: Convert to fraction form
    38,273.64/57,434.04 = 24,214.30/x
  3. Step 3: Cross multiply
    38,273.64x = 57,434.04 × 24,214.30
  4. Step 4: Simplify right side
    38,273.64x = 1,390,725,266.92
  5. Step 5: Solve for x
    x = 1,390,725,266.92/38,273.64
  6. Step 6: Final answer
    x = 36,336.37

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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.