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Finding the Fourth Proportional to 37,105.20, 55,657.80 and 10,812

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Solution

The fourth proportional to 37,105.20, 55,657.80 and 10,812 is: 16,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105.20 : 55,657.80 = 10,812 : x
  2. Step 2: Convert to fraction form
    37,105.20/55,657.80 = 10,812/x
  3. Step 3: Cross multiply
    37,105.20x = 55,657.80 × 10,812
  4. Step 4: Simplify right side
    37,105.20x = 601,772,133.60
  5. Step 5: Solve for x
    x = 601,772,133.60/37,105.20
  6. Step 6: Final answer
    x = 16,218.00

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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.