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Finding the Fourth Proportional to 33,633.86, 46,414.05 and 21,065.54

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Solution

The fourth proportional to 33,633.86, 46,414.05 and 21,065.54 is: 29,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.86 : 46,414.05 = 21,065.54 : x
  2. Step 2: Convert to fraction form
    33,633.86/46,414.05 = 21,065.54/x
  3. Step 3: Cross multiply
    33,633.86x = 46,414.05 × 21,065.54
  4. Step 4: Simplify right side
    33,633.86x = 977,737,026.84
  5. Step 5: Solve for x
    x = 977,737,026.84/33,633.86
  6. Step 6: Final answer
    x = 29,070.02

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