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Finding the Fourth Proportional to 67,284.91, 100,858.09 and 29,862.61

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Solution

The fourth proportional to 67,284.91, 100,858.09 and 29,862.61 is: 44,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284.91 : 100,858.09 = 29,862.61 : x
  2. Step 2: Convert to fraction form
    67,284.91/100,858.09 = 29,862.61/x
  3. Step 3: Cross multiply
    67,284.91x = 100,858.09 × 29,862.61
  4. Step 4: Simplify right side
    67,284.91x = 3,011,885,153.41
  5. Step 5: Solve for x
    x = 3,011,885,153.41/67,284.91
  6. Step 6: Final answer
    x = 44,763.16

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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.