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Finding the Fourth Proportional to 37,165.19, 51,287.72 and 20,169

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Solution

The fourth proportional to 37,165.19, 51,287.72 and 20,169 is: 27,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165.19 : 51,287.72 = 20,169 : x
  2. Step 2: Convert to fraction form
    37,165.19/51,287.72 = 20,169/x
  3. Step 3: Cross multiply
    37,165.19x = 51,287.72 × 20,169
  4. Step 4: Simplify right side
    37,165.19x = 1,034,421,923.84
  5. Step 5: Solve for x
    x = 1,034,421,923.84/37,165.19
  6. Step 6: Final answer
    x = 27,833.09

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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.