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Finding the Fourth Proportional to 99,831.56, 137,770.38 and 54,512.41

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Solution

The fourth proportional to 99,831.56, 137,770.38 and 54,512.41 is: 75,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.56 : 137,770.38 = 54,512.41 : x
  2. Step 2: Convert to fraction form
    99,831.56/137,770.38 = 54,512.41/x
  3. Step 3: Cross multiply
    99,831.56x = 137,770.38 × 54,512.41
  4. Step 4: Simplify right side
    99,831.56x = 7,510,195,095.99
  5. Step 5: Solve for x
    x = 7,510,195,095.99/99,831.56
  6. Step 6: Final answer
    x = 75,228.67

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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.