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Finding the Fourth Proportional to 37,782, 56,674.20 and 11,486.97

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Solution

The fourth proportional to 37,782, 56,674.20 and 11,486.97 is: 17,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782 : 56,674.20 = 11,486.97 : x
  2. Step 2: Convert to fraction form
    37,782/56,674.20 = 11,486.97/x
  3. Step 3: Cross multiply
    37,782x = 56,674.20 × 11,486.97
  4. Step 4: Simplify right side
    37,782x = 651,014,835.17
  5. Step 5: Solve for x
    x = 651,014,835.17/37,782
  6. Step 6: Final answer
    x = 17,230.82

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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.