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Finding the Fourth Proportional to 84,237.48, 116,197.38 and 50,697

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Solution

The fourth proportional to 84,237.48, 116,197.38 and 50,697 is: 69,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,237.48 : 116,197.38 = 50,697 : x
  2. Step 2: Convert to fraction form
    84,237.48/116,197.38 = 50,697/x
  3. Step 3: Cross multiply
    84,237.48x = 116,197.38 × 50,697
  4. Step 4: Simplify right side
    84,237.48x = 5,890,858,573.86
  5. Step 5: Solve for x
    x = 5,890,858,573.86/84,237.48
  6. Step 6: Final answer
    x = 69,931.56

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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.