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Finding the Fourth Proportional to 33,117.01, 49,680.14 and 12,053.14

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Solution

The fourth proportional to 33,117.01, 49,680.14 and 12,053.14 is: 18,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.01 : 49,680.14 = 12,053.14 : x
  2. Step 2: Convert to fraction form
    33,117.01/49,680.14 = 12,053.14/x
  3. Step 3: Cross multiply
    33,117.01x = 49,680.14 × 12,053.14
  4. Step 4: Simplify right side
    33,117.01x = 598,801,498.17
  5. Step 5: Solve for x
    x = 598,801,498.17/33,117.01
  6. Step 6: Final answer
    x = 18,081.39

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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.