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Finding the Fourth Proportional to 29,646, 44,469 and 8,869.50

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Solution

The fourth proportional to 29,646, 44,469 and 8,869.50 is: 13,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 44,469 = 8,869.50 : x
  2. Step 2: Convert to fraction form
    29,646/44,469 = 8,869.50/x
  3. Step 3: Cross multiply
    29,646x = 44,469 × 8,869.50
  4. Step 4: Simplify right side
    29,646x = 394,417,795.50
  5. Step 5: Solve for x
    x = 394,417,795.50/29,646
  6. Step 6: Final answer
    x = 13,304.25

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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.