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Finding the Fourth Proportional to 33,064.50, 49,597.02 and 12,288

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Solution

The fourth proportional to 33,064.50, 49,597.02 and 12,288 is: 18,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.50 : 49,597.02 = 12,288 : x
  2. Step 2: Convert to fraction form
    33,064.50/49,597.02 = 12,288/x
  3. Step 3: Cross multiply
    33,064.50x = 49,597.02 × 12,288
  4. Step 4: Simplify right side
    33,064.50x = 609,448,181.76
  5. Step 5: Solve for x
    x = 609,448,181.76/33,064.50
  6. Step 6: Final answer
    x = 18,432.10

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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.