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Finding the Fourth Proportional to 57,097.38, 78,794.50 and 31,605.48

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Solution

The fourth proportional to 57,097.38, 78,794.50 and 31,605.48 is: 43,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097.38 : 78,794.50 = 31,605.48 : x
  2. Step 2: Convert to fraction form
    57,097.38/78,794.50 = 31,605.48/x
  3. Step 3: Cross multiply
    57,097.38x = 78,794.50 × 31,605.48
  4. Step 4: Simplify right side
    57,097.38x = 2,490,337,993.86
  5. Step 5: Solve for x
    x = 2,490,337,993.86/57,097.38
  6. Step 6: Final answer
    x = 43,615.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.