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Finding the Fourth Proportional to 33,291.51, 49,947.89 and 11,929.80

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Solution

The fourth proportional to 33,291.51, 49,947.89 and 11,929.80 is: 17,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291.51 : 49,947.89 = 11,929.80 : x
  2. Step 2: Convert to fraction form
    33,291.51/49,947.89 = 11,929.80/x
  3. Step 3: Cross multiply
    33,291.51x = 49,947.89 × 11,929.80
  4. Step 4: Simplify right side
    33,291.51x = 595,868,156.18
  5. Step 5: Solve for x
    x = 595,868,156.18/33,291.51
  6. Step 6: Final answer
    x = 17,898.50

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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.