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Finding the Fourth Proportional to 37,043.15, 51,119.54 and 20,047.39

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Solution

The fourth proportional to 37,043.15, 51,119.54 and 20,047.39 is: 27,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,043.15 : 51,119.54 = 20,047.39 : x
  2. Step 2: Convert to fraction form
    37,043.15/51,119.54 = 20,047.39/x
  3. Step 3: Cross multiply
    37,043.15x = 51,119.54 × 20,047.39
  4. Step 4: Simplify right side
    37,043.15x = 1,024,813,202.14
  5. Step 5: Solve for x
    x = 1,024,813,202.14/37,043.15
  6. Step 6: Final answer
    x = 27,665.39

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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.