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Finding the Fourth Proportional to 57,865.72, 86,801.96 and 22,327.22

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Solution

The fourth proportional to 57,865.72, 86,801.96 and 22,327.22 is: 33,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.72 : 86,801.96 = 22,327.22 : x
  2. Step 2: Convert to fraction form
    57,865.72/86,801.96 = 22,327.22/x
  3. Step 3: Cross multiply
    57,865.72x = 86,801.96 × 22,327.22
  4. Step 4: Simplify right side
    57,865.72x = 1,938,046,754.95
  5. Step 5: Solve for x
    x = 1,938,046,754.95/57,865.72
  6. Step 6: Final answer
    x = 33,492.14

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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.