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Finding the Fourth Proportional to 96,102.70, 144,153.71 and 25,982

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Solution

The fourth proportional to 96,102.70, 144,153.71 and 25,982 is: 38,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,102.70 : 144,153.71 = 25,982 : x
  2. Step 2: Convert to fraction form
    96,102.70/144,153.71 = 25,982/x
  3. Step 3: Cross multiply
    96,102.70x = 144,153.71 × 25,982
  4. Step 4: Simplify right side
    96,102.70x = 3,745,401,693.22
  5. Step 5: Solve for x
    x = 3,745,401,693.22/96,102.70
  6. Step 6: Final answer
    x = 38,972.91

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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.