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Finding the Fourth Proportional to 33,121.90, 49,682.80 and 13,400.61

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Solution

The fourth proportional to 33,121.90, 49,682.80 and 13,400.61 is: 20,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121.90 : 49,682.80 = 13,400.61 : x
  2. Step 2: Convert to fraction form
    33,121.90/49,682.80 = 13,400.61/x
  3. Step 3: Cross multiply
    33,121.90x = 49,682.80 × 13,400.61
  4. Step 4: Simplify right side
    33,121.90x = 665,779,826.51
  5. Step 5: Solve for x
    x = 665,779,826.51/33,121.90
  6. Step 6: Final answer
    x = 20,100.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.