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Finding the Fourth Proportional to 37,165.58, 51,288.53 and 20,169.83

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Solution

The fourth proportional to 37,165.58, 51,288.53 and 20,169.83 is: 27,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165.58 : 51,288.53 = 20,169.83 : x
  2. Step 2: Convert to fraction form
    37,165.58/51,288.53 = 20,169.83/x
  3. Step 3: Cross multiply
    37,165.58x = 51,288.53 × 20,169.83
  4. Step 4: Simplify right side
    37,165.58x = 1,034,480,725.03
  5. Step 5: Solve for x
    x = 1,034,480,725.03/37,165.58
  6. Step 6: Final answer
    x = 27,834.38

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Why These Related Problems?

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