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Finding the Fourth Proportional to 37,754.97, 56,657.97 and 14,380.80

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Solution

The fourth proportional to 37,754.97, 56,657.97 and 14,380.80 is: 21,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.97 : 56,657.97 = 14,380.80 : x
  2. Step 2: Convert to fraction form
    37,754.97/56,657.97 = 14,380.80/x
  3. Step 3: Cross multiply
    37,754.97x = 56,657.97 × 14,380.80
  4. Step 4: Simplify right side
    37,754.97x = 814,786,934.98
  5. Step 5: Solve for x
    x = 814,786,934.98/37,754.97
  6. Step 6: Final answer
    x = 21,580.92

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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.