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Finding the Fourth Proportional to 33,264, 49,904.22 and 9,890.34

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Solution

The fourth proportional to 33,264, 49,904.22 and 9,890.34 is: 14,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 49,904.22 = 9,890.34 : x
  2. Step 2: Convert to fraction form
    33,264/49,904.22 = 9,890.34/x
  3. Step 3: Cross multiply
    33,264x = 49,904.22 × 9,890.34
  4. Step 4: Simplify right side
    33,264x = 493,569,703.23
  5. Step 5: Solve for x
    x = 493,569,703.23/33,264
  6. Step 6: Final answer
    x = 14,837.95

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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.