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Finding the Fourth Proportional to 57,099.12, 85,648.56 and 15,546

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Solution

The fourth proportional to 57,099.12, 85,648.56 and 15,546 is: 23,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.12 : 85,648.56 = 15,546 : x
  2. Step 2: Convert to fraction form
    57,099.12/85,648.56 = 15,546/x
  3. Step 3: Cross multiply
    57,099.12x = 85,648.56 × 15,546
  4. Step 4: Simplify right side
    57,099.12x = 1,331,492,513.76
  5. Step 5: Solve for x
    x = 1,331,492,513.76/57,099.12
  6. Step 6: Final answer
    x = 23,318.97

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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.