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Finding the Fourth Proportional to 57,645.42, 86,452.65 and 22,099.02

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Solution

The fourth proportional to 57,645.42, 86,452.65 and 22,099.02 is: 33,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.42 : 86,452.65 = 22,099.02 : x
  2. Step 2: Convert to fraction form
    57,645.42/86,452.65 = 22,099.02/x
  3. Step 3: Cross multiply
    57,645.42x = 86,452.65 × 22,099.02
  4. Step 4: Simplify right side
    57,645.42x = 1,910,518,841.40
  5. Step 5: Solve for x
    x = 1,910,518,841.40/57,645.42
  6. Step 6: Final answer
    x = 33,142.60

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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.