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Finding the Fourth Proportional to 33,283.65, 49,670.74 and 29,733.80

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Solution

The fourth proportional to 33,283.65, 49,670.74 and 29,733.80 is: 44,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,283.65 : 49,670.74 = 29,733.80 : x
  2. Step 2: Convert to fraction form
    33,283.65/49,670.74 = 29,733.80/x
  3. Step 3: Cross multiply
    33,283.65x = 49,670.74 × 29,733.80
  4. Step 4: Simplify right side
    33,283.65x = 1,476,899,849.01
  5. Step 5: Solve for x
    x = 1,476,899,849.01/33,283.65
  6. Step 6: Final answer
    x = 44,373.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.