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Finding the Fourth Proportional to 33,748.38, 46,578.74 and 19,407.09

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Solution

The fourth proportional to 33,748.38, 46,578.74 and 19,407.09 is: 26,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748.38 : 46,578.74 = 19,407.09 : x
  2. Step 2: Convert to fraction form
    33,748.38/46,578.74 = 19,407.09/x
  3. Step 3: Cross multiply
    33,748.38x = 46,578.74 × 19,407.09
  4. Step 4: Simplify right side
    33,748.38x = 903,957,702.23
  5. Step 5: Solve for x
    x = 903,957,702.23/33,748.38
  6. Step 6: Final answer
    x = 26,785.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.