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Finding the Fourth Proportional to 33,141.44, 49,721.02 and 14,425.48

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Solution

The fourth proportional to 33,141.44, 49,721.02 and 14,425.48 is: 21,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.44 : 49,721.02 = 14,425.48 : x
  2. Step 2: Convert to fraction form
    33,141.44/49,721.02 = 14,425.48/x
  3. Step 3: Cross multiply
    33,141.44x = 49,721.02 × 14,425.48
  4. Step 4: Simplify right side
    33,141.44x = 717,249,579.59
  5. Step 5: Solve for x
    x = 717,249,579.59/33,141.44
  6. Step 6: Final answer
    x = 21,642.08

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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.