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Finding the Fourth Proportional to 51,385.39, 70,923.27 and 31,238

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Solution

The fourth proportional to 51,385.39, 70,923.27 and 31,238 is: 43,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385.39 : 70,923.27 = 31,238 : x
  2. Step 2: Convert to fraction form
    51,385.39/70,923.27 = 31,238/x
  3. Step 3: Cross multiply
    51,385.39x = 70,923.27 × 31,238
  4. Step 4: Simplify right side
    51,385.39x = 2,215,501,108.26
  5. Step 5: Solve for x
    x = 2,215,501,108.26/51,385.39
  6. Step 6: Final answer
    x = 43,115.39

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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.