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Finding the Fourth Proportional to 57,099.76, 85,674.14 and 22,064.02

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Solution

The fourth proportional to 57,099.76, 85,674.14 and 22,064.02 is: 33,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.76 : 85,674.14 = 22,064.02 : x
  2. Step 2: Convert to fraction form
    57,099.76/85,674.14 = 22,064.02/x
  3. Step 3: Cross multiply
    57,099.76x = 85,674.14 × 22,064.02
  4. Step 4: Simplify right side
    57,099.76x = 1,890,315,938.44
  5. Step 5: Solve for x
    x = 1,890,315,938.44/57,099.76
  6. Step 6: Final answer
    x = 33,105.50

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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.