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Finding the Fourth Proportional to 37,105.83, 55,534.82 and 22,064.13

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Solution

The fourth proportional to 37,105.83, 55,534.82 and 22,064.13 is: 33,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105.83 : 55,534.82 = 22,064.13 : x
  2. Step 2: Convert to fraction form
    37,105.83/55,534.82 = 22,064.13/x
  3. Step 3: Cross multiply
    37,105.83x = 55,534.82 × 22,064.13
  4. Step 4: Simplify right side
    37,105.83x = 1,225,327,377.69
  5. Step 5: Solve for x
    x = 1,225,327,377.69/37,105.83
  6. Step 6: Final answer
    x = 33,022.50

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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.