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Finding the Fourth Proportional to 37,784.50, 56,679.09 and 11,491.18

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Solution

The fourth proportional to 37,784.50, 56,679.09 and 11,491.18 is: 17,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784.50 : 56,679.09 = 11,491.18 : x
  2. Step 2: Convert to fraction form
    37,784.50/56,679.09 = 11,491.18/x
  3. Step 3: Cross multiply
    37,784.50x = 56,679.09 × 11,491.18
  4. Step 4: Simplify right side
    37,784.50x = 651,309,625.43
  5. Step 5: Solve for x
    x = 651,309,625.43/37,784.50
  6. Step 6: Final answer
    x = 17,237.48

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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.