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Finding the Fourth Proportional to 33,587.31, 46,297.13 and 28,199.10

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Solution

The fourth proportional to 33,587.31, 46,297.13 and 28,199.10 is: 38,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,587.31 : 46,297.13 = 28,199.10 : x
  2. Step 2: Convert to fraction form
    33,587.31/46,297.13 = 28,199.10/x
  3. Step 3: Cross multiply
    33,587.31x = 46,297.13 × 28,199.10
  4. Step 4: Simplify right side
    33,587.31x = 1,305,537,257.59
  5. Step 5: Solve for x
    x = 1,305,537,257.59/33,587.31
  6. Step 6: Final answer
    x = 38,869.96

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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.