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Finding the Fourth Proportional to 78,182, 117,273 and 34,406

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Solution

The fourth proportional to 78,182, 117,273 and 34,406 is: 51,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182 : 117,273 = 34,406 : x
  2. Step 2: Convert to fraction form
    78,182/117,273 = 34,406/x
  3. Step 3: Cross multiply
    78,182x = 117,273 × 34,406
  4. Step 4: Simplify right side
    78,182x = 4,034,894,838
  5. Step 5: Solve for x
    x = 4,034,894,838/78,182
  6. Step 6: Final answer
    x = 51,609

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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.