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Finding the Fourth Proportional to 33,005.00, 49,532.09 and 13,283.72

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Solution

The fourth proportional to 33,005.00, 49,532.09 and 13,283.72 is: 19,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.00 : 49,532.09 = 13,283.72 : x
  2. Step 2: Convert to fraction form
    33,005.00/49,532.09 = 13,283.72/x
  3. Step 3: Cross multiply
    33,005.00x = 49,532.09 × 13,283.72
  4. Step 4: Simplify right side
    33,005.00x = 657,970,100.50
  5. Step 5: Solve for x
    x = 657,970,100.50/33,005.00
  6. Step 6: Final answer
    x = 19,935.47

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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.