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Finding the Fourth Proportional to 64,831.87, 97,224.43 and 27,394.85

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Solution

The fourth proportional to 64,831.87, 97,224.43 and 27,394.85 is: 41,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,831.87 : 97,224.43 = 27,394.85 : x
  2. Step 2: Convert to fraction form
    64,831.87/97,224.43 = 27,394.85/x
  3. Step 3: Cross multiply
    64,831.87x = 97,224.43 × 27,394.85
  4. Step 4: Simplify right side
    64,831.87x = 2,663,448,121.58
  5. Step 5: Solve for x
    x = 2,663,448,121.58/64,831.87
  6. Step 6: Final answer
    x = 41,082.39

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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.