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Finding the Fourth Proportional to 37,164.22, 55,748.20 and 10,512.11

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Solution

The fourth proportional to 37,164.22, 55,748.20 and 10,512.11 is: 15,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164.22 : 55,748.20 = 10,512.11 : x
  2. Step 2: Convert to fraction form
    37,164.22/55,748.20 = 10,512.11/x
  3. Step 3: Cross multiply
    37,164.22x = 55,748.20 × 10,512.11
  4. Step 4: Simplify right side
    37,164.22x = 586,031,343.50
  5. Step 5: Solve for x
    x = 586,031,343.50/37,164.22
  6. Step 6: Final answer
    x = 15,768.70

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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.