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Finding the Fourth Proportional to 29,046.34, 43,569.50 and 8,269.84

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Solution

The fourth proportional to 29,046.34, 43,569.50 and 8,269.84 is: 12,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.34 : 43,569.50 = 8,269.84 : x
  2. Step 2: Convert to fraction form
    29,046.34/43,569.50 = 8,269.84/x
  3. Step 3: Cross multiply
    29,046.34x = 43,569.50 × 8,269.84
  4. Step 4: Simplify right side
    29,046.34x = 360,312,534.68
  5. Step 5: Solve for x
    x = 360,312,534.68/29,046.34
  6. Step 6: Final answer
    x = 12,404.75

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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.