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Finding the Fourth Proportional to 33,678, 46,451.61 and 28,607.04

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Solution

The fourth proportional to 33,678, 46,451.61 and 28,607.04 is: 39,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 46,451.61 = 28,607.04 : x
  2. Step 2: Convert to fraction form
    33,678/46,451.61 = 28,607.04/x
  3. Step 3: Cross multiply
    33,678x = 46,451.61 × 28,607.04
  4. Step 4: Simplify right side
    33,678x = 1,328,843,065.33
  5. Step 5: Solve for x
    x = 1,328,843,065.33/33,678
  6. Step 6: Final answer
    x = 39,457.30

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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.