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Finding the Fourth Proportional to 37,468.59, 56,195.25 and 13,767.99

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Solution

The fourth proportional to 37,468.59, 56,195.25 and 13,767.99 is: 20,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.59 : 56,195.25 = 13,767.99 : x
  2. Step 2: Convert to fraction form
    37,468.59/56,195.25 = 13,767.99/x
  3. Step 3: Cross multiply
    37,468.59x = 56,195.25 × 13,767.99
  4. Step 4: Simplify right side
    37,468.59x = 773,695,640.05
  5. Step 5: Solve for x
    x = 773,695,640.05/37,468.59
  6. Step 6: Final answer
    x = 20,649.18

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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.