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Finding the Fourth Proportional to 70,831.50, 106,265.52 and 26,458.56

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Solution

The fourth proportional to 70,831.50, 106,265.52 and 26,458.56 is: 39,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.50 : 106,265.52 = 26,458.56 : x
  2. Step 2: Convert to fraction form
    70,831.50/106,265.52 = 26,458.56/x
  3. Step 3: Cross multiply
    70,831.50x = 106,265.52 × 26,458.56
  4. Step 4: Simplify right side
    70,831.50x = 2,811,632,636.85
  5. Step 5: Solve for x
    x = 2,811,632,636.85/70,831.50
  6. Step 6: Final answer
    x = 39,694.66

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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.