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Finding the Fourth Proportional to 107,119.72, 160,697.81 and 36,982.63

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Solution

The fourth proportional to 107,119.72, 160,697.81 and 36,982.63 is: 55,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,119.72 : 160,697.81 = 36,982.63 : x
  2. Step 2: Convert to fraction form
    107,119.72/160,697.81 = 36,982.63/x
  3. Step 3: Cross multiply
    107,119.72x = 160,697.81 × 36,982.63
  4. Step 4: Simplify right side
    107,119.72x = 5,943,027,649.04
  5. Step 5: Solve for x
    x = 5,943,027,649.04/107,119.72
  6. Step 6: Final answer
    x = 55,480.24

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Why These Related Problems?

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