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Finding the Fourth Proportional to 57,742.70, 86,596.05 and 22,693.10

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Solution

The fourth proportional to 57,742.70, 86,596.05 and 22,693.10 is: 34,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742.70 : 86,596.05 = 22,693.10 : x
  2. Step 2: Convert to fraction form
    57,742.70/86,596.05 = 22,693.10/x
  3. Step 3: Cross multiply
    57,742.70x = 86,596.05 × 22,693.10
  4. Step 4: Simplify right side
    57,742.70x = 1,965,132,822.26
  5. Step 5: Solve for x
    x = 1,965,132,822.26/57,742.70
  6. Step 6: Final answer
    x = 34,032.58

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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.