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Finding the Fourth Proportional to 57,098.10, 85,647.15 and 17,654.34

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Solution

The fourth proportional to 57,098.10, 85,647.15 and 17,654.34 is: 26,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.10 : 85,647.15 = 17,654.34 : x
  2. Step 2: Convert to fraction form
    57,098.10/85,647.15 = 17,654.34/x
  3. Step 3: Cross multiply
    57,098.10x = 85,647.15 × 17,654.34
  4. Step 4: Simplify right side
    57,098.10x = 1,512,043,477.90
  5. Step 5: Solve for x
    x = 1,512,043,477.90/57,098.10
  6. Step 6: Final answer
    x = 26,481.50

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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.