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Finding the Fourth Proportional to 38,421.36, 57,640.55 and 15,048

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Solution

The fourth proportional to 38,421.36, 57,640.55 and 15,048 is: 22,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.36 : 57,640.55 = 15,048 : x
  2. Step 2: Convert to fraction form
    38,421.36/57,640.55 = 15,048/x
  3. Step 3: Cross multiply
    38,421.36x = 57,640.55 × 15,048
  4. Step 4: Simplify right side
    38,421.36x = 867,374,921.16
  5. Step 5: Solve for x
    x = 867,374,921.16/38,421.36
  6. Step 6: Final answer
    x = 22,575.33

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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.