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Finding the Fourth Proportional to 107,856.80, 161,792.40 and 36,778.40

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Solution

The fourth proportional to 107,856.80, 161,792.40 and 36,778.40 is: 55,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,856.80 : 161,792.40 = 36,778.40 : x
  2. Step 2: Convert to fraction form
    107,856.80/161,792.40 = 36,778.40/x
  3. Step 3: Cross multiply
    107,856.80x = 161,792.40 × 36,778.40
  4. Step 4: Simplify right side
    107,856.80x = 5,950,465,604.16
  5. Step 5: Solve for x
    x = 5,950,465,604.16/107,856.80
  6. Step 6: Final answer
    x = 55,170.06

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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.