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Finding the Fourth Proportional to 37,209.71, 55,822.25 and 12,251.25

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Solution

The fourth proportional to 37,209.71, 55,822.25 and 12,251.25 is: 18,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209.71 : 55,822.25 = 12,251.25 : x
  2. Step 2: Convert to fraction form
    37,209.71/55,822.25 = 12,251.25/x
  3. Step 3: Cross multiply
    37,209.71x = 55,822.25 × 12,251.25
  4. Step 4: Simplify right side
    37,209.71x = 683,892,370.94
  5. Step 5: Solve for x
    x = 683,892,370.94/37,209.71
  6. Step 6: Final answer
    x = 18,379.40

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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.