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Finding the Fourth Proportional to 37,958.25, 56,972.10 and 19,251.20

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Solution

The fourth proportional to 37,958.25, 56,972.10 and 19,251.20 is: 28,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958.25 : 56,972.10 = 19,251.20 : x
  2. Step 2: Convert to fraction form
    37,958.25/56,972.10 = 19,251.20/x
  3. Step 3: Cross multiply
    37,958.25x = 56,972.10 × 19,251.20
  4. Step 4: Simplify right side
    37,958.25x = 1,096,781,291.52
  5. Step 5: Solve for x
    x = 1,096,781,291.52/37,958.25
  6. Step 6: Final answer
    x = 28,894.41

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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.