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Finding the Fourth Proportional to 57,096, 85,652.17 and 17,656.16

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Solution

The fourth proportional to 57,096, 85,652.17 and 17,656.16 is: 26,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 85,652.17 = 17,656.16 : x
  2. Step 2: Convert to fraction form
    57,096/85,652.17 = 17,656.16/x
  3. Step 3: Cross multiply
    57,096x = 85,652.17 × 17,656.16
  4. Step 4: Simplify right side
    57,096x = 1,512,287,945.47
  5. Step 5: Solve for x
    x = 1,512,287,945.47/57,096
  6. Step 6: Final answer
    x = 26,486.76

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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.