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Finding the Fourth Proportional to 67,842.76, 101,826.24 and 34,586.68

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Solution

The fourth proportional to 67,842.76, 101,826.24 and 34,586.68 is: 51,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.76 : 101,826.24 = 34,586.68 : x
  2. Step 2: Convert to fraction form
    67,842.76/101,826.24 = 34,586.68/x
  3. Step 3: Cross multiply
    67,842.76x = 101,826.24 × 34,586.68
  4. Step 4: Simplify right side
    67,842.76x = 3,521,831,578.48
  5. Step 5: Solve for x
    x = 3,521,831,578.48/67,842.76
  6. Step 6: Final answer
    x = 51,911.68

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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.