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Finding the Fourth Proportional to 33,211.72, 49,828.52 and 13,484.98

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Solution

The fourth proportional to 33,211.72, 49,828.52 and 13,484.98 is: 20,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.72 : 49,828.52 = 13,484.98 : x
  2. Step 2: Convert to fraction form
    33,211.72/49,828.52 = 13,484.98/x
  3. Step 3: Cross multiply
    33,211.72x = 49,828.52 × 13,484.98
  4. Step 4: Simplify right side
    33,211.72x = 671,936,595.63
  5. Step 5: Solve for x
    x = 671,936,595.63/33,211.72
  6. Step 6: Final answer
    x = 20,231.91

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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.