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Finding the Fourth Proportional to 107,594, 161,416.92 and 33,722

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Solution

The fourth proportional to 107,594, 161,416.92 and 33,722 is: 50,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,594 : 161,416.92 = 33,722 : x
  2. Step 2: Convert to fraction form
    107,594/161,416.92 = 33,722/x
  3. Step 3: Cross multiply
    107,594x = 161,416.92 × 33,722
  4. Step 4: Simplify right side
    107,594x = 5,443,301,376.24
  5. Step 5: Solve for x
    x = 5,443,301,376.24/107,594
  6. Step 6: Final answer
    x = 50,591.12

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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.