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Finding the Fourth Proportional to 38,252.58, 57,388.11 and 13,289

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Solution

The fourth proportional to 38,252.58, 57,388.11 and 13,289 is: 19,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252.58 : 57,388.11 = 13,289 : x
  2. Step 2: Convert to fraction form
    38,252.58/57,388.11 = 13,289/x
  3. Step 3: Cross multiply
    38,252.58x = 57,388.11 × 13,289
  4. Step 4: Simplify right side
    38,252.58x = 762,630,527.35
  5. Step 5: Solve for x
    x = 762,630,527.35/38,252.58
  6. Step 6: Final answer
    x = 19,936.71

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Why These Related Problems?

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