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Finding the Fourth Proportional to 57,097.56, 85,648.68 and 15,544.56

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Solution

The fourth proportional to 57,097.56, 85,648.68 and 15,544.56 is: 23,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.56 : 85,648.68 = 15,544.56 : x
  2. Step 2: Convert to fraction form
    57,097.56/85,648.68 = 15,544.56/x
  3. Step 3: Cross multiply
    57,097.56x = 85,648.68 × 15,544.56
  4. Step 4: Simplify right side
    57,097.56x = 1,331,371,045.18
  5. Step 5: Solve for x
    x = 1,331,371,045.18/57,097.56
  6. Step 6: Final answer
    x = 23,317.48

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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.