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Finding the Fourth Proportional to 67,264.48, 100,827.48 and 29,842.17

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Solution

The fourth proportional to 67,264.48, 100,827.48 and 29,842.17 is: 44,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,264.48 : 100,827.48 = 29,842.17 : x
  2. Step 2: Convert to fraction form
    67,264.48/100,827.48 = 29,842.17/x
  3. Step 3: Cross multiply
    67,264.48x = 100,827.48 × 29,842.17
  4. Step 4: Simplify right side
    67,264.48x = 3,008,911,099.79
  5. Step 5: Solve for x
    x = 3,008,911,099.79/67,264.48
  6. Step 6: Final answer
    x = 44,732.54

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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.