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Finding the Fourth Proportional to 71,246, 106,869 and 29,693

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Solution

The fourth proportional to 71,246, 106,869 and 29,693 is: 44,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,246 : 106,869 = 29,693 : x
  2. Step 2: Convert to fraction form
    71,246/106,869 = 29,693/x
  3. Step 3: Cross multiply
    71,246x = 106,869 × 29,693
  4. Step 4: Simplify right side
    71,246x = 3,173,261,217
  5. Step 5: Solve for x
    x = 3,173,261,217/71,246
  6. Step 6: Final answer
    x = 44,539.50

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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.