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Finding the Fourth Proportional to 33,712.38, 46,461.06 and 27,020.16

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Solution

The fourth proportional to 33,712.38, 46,461.06 and 27,020.16 is: 37,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.38 : 46,461.06 = 27,020.16 : x
  2. Step 2: Convert to fraction form
    33,712.38/46,461.06 = 27,020.16/x
  3. Step 3: Cross multiply
    33,712.38x = 46,461.06 × 27,020.16
  4. Step 4: Simplify right side
    33,712.38x = 1,255,385,274.97
  5. Step 5: Solve for x
    x = 1,255,385,274.97/33,712.38
  6. Step 6: Final answer
    x = 37,238.11

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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.