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Finding the Fourth Proportional to 37,114.52, 51,218.65 and 20,119.30

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Solution

The fourth proportional to 37,114.52, 51,218.65 and 20,119.30 is: 27,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114.52 : 51,218.65 = 20,119.30 : x
  2. Step 2: Convert to fraction form
    37,114.52/51,218.65 = 20,119.30/x
  3. Step 3: Cross multiply
    37,114.52x = 51,218.65 × 20,119.30
  4. Step 4: Simplify right side
    37,114.52x = 1,030,483,384.95
  5. Step 5: Solve for x
    x = 1,030,483,384.95/37,114.52
  6. Step 6: Final answer
    x = 27,764.97

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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.