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Finding the Fourth Proportional to 37,119.20, 55,682.40 and 10,824.20

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Solution

The fourth proportional to 37,119.20, 55,682.40 and 10,824.20 is: 16,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,119.20 : 55,682.40 = 10,824.20 : x
  2. Step 2: Convert to fraction form
    37,119.20/55,682.40 = 10,824.20/x
  3. Step 3: Cross multiply
    37,119.20x = 55,682.40 × 10,824.20
  4. Step 4: Simplify right side
    37,119.20x = 602,717,434.08
  5. Step 5: Solve for x
    x = 602,717,434.08/37,119.20
  6. Step 6: Final answer
    x = 16,237.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.