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Finding the Fourth Proportional to 33,095.88, 49,644.54 and 9,722.34

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Solution

The fourth proportional to 33,095.88, 49,644.54 and 9,722.34 is: 14,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.88 : 49,644.54 = 9,722.34 : x
  2. Step 2: Convert to fraction form
    33,095.88/49,644.54 = 9,722.34/x
  3. Step 3: Cross multiply
    33,095.88x = 49,644.54 × 9,722.34
  4. Step 4: Simplify right side
    33,095.88x = 482,661,097.02
  5. Step 5: Solve for x
    x = 482,661,097.02/33,095.88
  6. Step 6: Final answer
    x = 14,583.72

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1.5x scale

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.