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Finding the Fourth Proportional to 33,582, 50,372.70 and 12,521.33

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Solution

The fourth proportional to 33,582, 50,372.70 and 12,521.33 is: 18,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582 : 50,372.70 = 12,521.33 : x
  2. Step 2: Convert to fraction form
    33,582/50,372.70 = 12,521.33/x
  3. Step 3: Cross multiply
    33,582x = 50,372.70 × 12,521.33
  4. Step 4: Simplify right side
    33,582x = 630,732,947.83
  5. Step 5: Solve for x
    x = 630,732,947.83/33,582
  6. Step 6: Final answer
    x = 18,781.88

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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.