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Finding the Fourth Proportional to 29,872.92, 44,809.31 and 8,827.74

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Solution

The fourth proportional to 29,872.92, 44,809.31 and 8,827.74 is: 13,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.92 : 44,809.31 = 8,827.74 : x
  2. Step 2: Convert to fraction form
    29,872.92/44,809.31 = 8,827.74/x
  3. Step 3: Cross multiply
    29,872.92x = 44,809.31 × 8,827.74
  4. Step 4: Simplify right side
    29,872.92x = 395,564,894.12
  5. Step 5: Solve for x
    x = 395,564,894.12/29,872.92
  6. Step 6: Final answer
    x = 13,241.59

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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.