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Finding the Fourth Proportional to 107,861.93, 161,792.84 and 32,982.06

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Solution

The fourth proportional to 107,861.93, 161,792.84 and 32,982.06 is: 49,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,861.93 : 161,792.84 = 32,982.06 : x
  2. Step 2: Convert to fraction form
    107,861.93/161,792.84 = 32,982.06/x
  3. Step 3: Cross multiply
    107,861.93x = 161,792.84 × 32,982.06
  4. Step 4: Simplify right side
    107,861.93x = 5,336,261,156.45
  5. Step 5: Solve for x
    x = 5,336,261,156.45/107,861.93
  6. Step 6: Final answer
    x = 49,473.08

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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.