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Finding the Fourth Proportional to 96,581.40, 144,872.10 and 33,401.40

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Solution

The fourth proportional to 96,581.40, 144,872.10 and 33,401.40 is: 50,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,581.40 : 144,872.10 = 33,401.40 : x
  2. Step 2: Convert to fraction form
    96,581.40/144,872.10 = 33,401.40/x
  3. Step 3: Cross multiply
    96,581.40x = 144,872.10 × 33,401.40
  4. Step 4: Simplify right side
    96,581.40x = 4,838,930,960.94
  5. Step 5: Solve for x
    x = 4,838,930,960.94/96,581.40
  6. Step 6: Final answer
    x = 50,102.10

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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.