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Finding the Fourth Proportional to 57,850.50, 86,742.54 and 22,771.02

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Solution

The fourth proportional to 57,850.50, 86,742.54 and 22,771.02 is: 34,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,850.50 : 86,742.54 = 22,771.02 : x
  2. Step 2: Convert to fraction form
    57,850.50/86,742.54 = 22,771.02/x
  3. Step 3: Cross multiply
    57,850.50x = 86,742.54 × 22,771.02
  4. Step 4: Simplify right side
    57,850.50x = 1,975,216,113.19
  5. Step 5: Solve for x
    x = 1,975,216,113.19/57,850.50
  6. Step 6: Final answer
    x = 34,143.46

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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.