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Finding the Fourth Proportional to 68,951.86, 103,469.10 and 29,509.01

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Solution

The fourth proportional to 68,951.86, 103,469.10 and 29,509.01 is: 44,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951.86 : 103,469.10 = 29,509.01 : x
  2. Step 2: Convert to fraction form
    68,951.86/103,469.10 = 29,509.01/x
  3. Step 3: Cross multiply
    68,951.86x = 103,469.10 × 29,509.01
  4. Step 4: Simplify right side
    68,951.86x = 3,053,270,706.59
  5. Step 5: Solve for x
    x = 3,053,270,706.59/68,951.86
  6. Step 6: Final answer
    x = 44,281.19

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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.