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Finding the Fourth Proportional to 57,264.09, 85,902.03 and 19,824.09

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Solution

The fourth proportional to 57,264.09, 85,902.03 and 19,824.09 is: 29,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264.09 : 85,902.03 = 19,824.09 : x
  2. Step 2: Convert to fraction form
    57,264.09/85,902.03 = 19,824.09/x
  3. Step 3: Cross multiply
    57,264.09x = 85,902.03 × 19,824.09
  4. Step 4: Simplify right side
    57,264.09x = 1,702,929,573.90
  5. Step 5: Solve for x
    x = 1,702,929,573.90/57,264.09
  6. Step 6: Final answer
    x = 29,738.18

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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.