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Finding the Fourth Proportional to 33,282, 49,926.24 and 8,658

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Solution

The fourth proportional to 33,282, 49,926.24 and 8,658 is: 12,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282 : 49,926.24 = 8,658 : x
  2. Step 2: Convert to fraction form
    33,282/49,926.24 = 8,658/x
  3. Step 3: Cross multiply
    33,282x = 49,926.24 × 8,658
  4. Step 4: Simplify right side
    33,282x = 432,261,385.92
  5. Step 5: Solve for x
    x = 432,261,385.92/33,282
  6. Step 6: Final answer
    x = 12,987.84

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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.