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Finding the Fourth Proportional to 37,105, 51,205.02 and 20,109.52

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Solution

The fourth proportional to 37,105, 51,205.02 and 20,109.52 is: 27,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105 : 51,205.02 = 20,109.52 : x
  2. Step 2: Convert to fraction form
    37,105/51,205.02 = 20,109.52/x
  3. Step 3: Cross multiply
    37,105x = 51,205.02 × 20,109.52
  4. Step 4: Simplify right side
    37,105x = 1,029,708,373.79
  5. Step 5: Solve for x
    x = 1,029,708,373.79/37,105
  6. Step 6: Final answer
    x = 27,751.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.