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Finding the Fourth Proportional to 37,021, 51,089.72 and 20,254.36

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Solution

The fourth proportional to 37,021, 51,089.72 and 20,254.36 is: 27,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021 : 51,089.72 = 20,254.36 : x
  2. Step 2: Convert to fraction form
    37,021/51,089.72 = 20,254.36/x
  3. Step 3: Cross multiply
    37,021x = 51,089.72 × 20,254.36
  4. Step 4: Simplify right side
    37,021x = 1,034,789,581.18
  5. Step 5: Solve for x
    x = 1,034,789,581.18/37,021
  6. Step 6: Final answer
    x = 27,951.42

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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.