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Finding the Fourth Proportional to 57,108.24, 85,620.24 and 22,032

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Solution

The fourth proportional to 57,108.24, 85,620.24 and 22,032 is: 33,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,108.24 : 85,620.24 = 22,032 : x
  2. Step 2: Convert to fraction form
    57,108.24/85,620.24 = 22,032/x
  3. Step 3: Cross multiply
    57,108.24x = 85,620.24 × 22,032
  4. Step 4: Simplify right side
    57,108.24x = 1,886,385,127.68
  5. Step 5: Solve for x
    x = 1,886,385,127.68/57,108.24
  6. Step 6: Final answer
    x = 33,031.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.