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Finding the Fourth Proportional to 84,119.62, 126,142.50 and 31,492.20

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Solution

The fourth proportional to 84,119.62, 126,142.50 and 31,492.20 is: 47,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,119.62 : 126,142.50 = 31,492.20 : x
  2. Step 2: Convert to fraction form
    84,119.62/126,142.50 = 31,492.20/x
  3. Step 3: Cross multiply
    84,119.62x = 126,142.50 × 31,492.20
  4. Step 4: Simplify right side
    84,119.62x = 3,972,504,838.50
  5. Step 5: Solve for x
    x = 3,972,504,838.50/84,119.62
  6. Step 6: Final answer
    x = 47,224.47

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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.