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Finding the Fourth Proportional to 56,906.60, 85,424.70 and 33,546.20

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Solution

The fourth proportional to 56,906.60, 85,424.70 and 33,546.20 is: 50,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.60 : 85,424.70 = 33,546.20 : x
  2. Step 2: Convert to fraction form
    56,906.60/85,424.70 = 33,546.20/x
  3. Step 3: Cross multiply
    56,906.60x = 85,424.70 × 33,546.20
  4. Step 4: Simplify right side
    56,906.60x = 2,865,674,071.14
  5. Step 5: Solve for x
    x = 2,865,674,071.14/56,906.60
  6. Step 6: Final answer
    x = 50,357.50

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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.