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Finding the Fourth Proportional to 71,492.84, 107,169.53 and 34,042.85

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Solution

The fourth proportional to 71,492.84, 107,169.53 and 34,042.85 is: 51,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492.84 : 107,169.53 = 34,042.85 : x
  2. Step 2: Convert to fraction form
    71,492.84/107,169.53 = 34,042.85/x
  3. Step 3: Cross multiply
    71,492.84x = 107,169.53 × 34,042.85
  4. Step 4: Simplify right side
    71,492.84x = 3,648,356,234.36
  5. Step 5: Solve for x
    x = 3,648,356,234.36/71,492.84
  6. Step 6: Final answer
    x = 51,031.07

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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.