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Finding the Fourth Proportional to 33,004.65, 49,513.76 and 13,283.18

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Solution

The fourth proportional to 33,004.65, 49,513.76 and 13,283.18 is: 19,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.65 : 49,513.76 = 13,283.18 : x
  2. Step 2: Convert to fraction form
    33,004.65/49,513.76 = 13,283.18/x
  3. Step 3: Cross multiply
    33,004.65x = 49,513.76 × 13,283.18
  4. Step 4: Simplify right side
    33,004.65x = 657,700,186.56
  5. Step 5: Solve for x
    x = 657,700,186.56/33,004.65
  6. Step 6: Final answer
    x = 19,927.50

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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.