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Finding the Fourth Proportional to 96,399.76, 144,615.84 and 33,217.30

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Solution

The fourth proportional to 96,399.76, 144,615.84 and 33,217.30 is: 49,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399.76 : 144,615.84 = 33,217.30 : x
  2. Step 2: Convert to fraction form
    96,399.76/144,615.84 = 33,217.30/x
  3. Step 3: Cross multiply
    96,399.76x = 144,615.84 × 33,217.30
  4. Step 4: Simplify right side
    96,399.76x = 4,803,747,742.03
  5. Step 5: Solve for x
    x = 4,803,747,742.03/96,399.76
  6. Step 6: Final answer
    x = 49,831.53

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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.