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Finding the Fourth Proportional to 69,242.59, 103,822.37 and 31,755.71

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Solution

The fourth proportional to 69,242.59, 103,822.37 and 31,755.71 is: 47,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242.59 : 103,822.37 = 31,755.71 : x
  2. Step 2: Convert to fraction form
    69,242.59/103,822.37 = 31,755.71/x
  3. Step 3: Cross multiply
    69,242.59x = 103,822.37 × 31,755.71
  4. Step 4: Simplify right side
    69,242.59x = 3,296,953,073.23
  5. Step 5: Solve for x
    x = 3,296,953,073.23/69,242.59
  6. Step 6: Final answer
    x = 47,614.53

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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.