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Finding the Fourth Proportional to 57,296.10, 85,944.15 and 17,856.38

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Solution

The fourth proportional to 57,296.10, 85,944.15 and 17,856.38 is: 26,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296.10 : 85,944.15 = 17,856.38 : x
  2. Step 2: Convert to fraction form
    57,296.10/85,944.15 = 17,856.38/x
  3. Step 3: Cross multiply
    57,296.10x = 85,944.15 × 17,856.38
  4. Step 4: Simplify right side
    57,296.10x = 1,534,651,401.18
  5. Step 5: Solve for x
    x = 1,534,651,401.18/57,296.10
  6. Step 6: Final answer
    x = 26,784.57

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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.