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Finding the Fourth Proportional to 57,496.70, 86,245.46 and 20,056.61

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Solution

The fourth proportional to 57,496.70, 86,245.46 and 20,056.61 is: 30,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496.70 : 86,245.46 = 20,056.61 : x
  2. Step 2: Convert to fraction form
    57,496.70/86,245.46 = 20,056.61/x
  3. Step 3: Cross multiply
    57,496.70x = 86,245.46 × 20,056.61
  4. Step 4: Simplify right side
    57,496.70x = 1,729,791,746.03
  5. Step 5: Solve for x
    x = 1,729,791,746.03/57,496.70
  6. Step 6: Final answer
    x = 30,085.06

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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.