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Finding the Fourth Proportional to 33,005.48, 49,508.42 and 8,045.73

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Solution

The fourth proportional to 33,005.48, 49,508.42 and 8,045.73 is: 12,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.48 : 49,508.42 = 8,045.73 : x
  2. Step 2: Convert to fraction form
    33,005.48/49,508.42 = 8,045.73/x
  3. Step 3: Cross multiply
    33,005.48x = 49,508.42 × 8,045.73
  4. Step 4: Simplify right side
    33,005.48x = 398,331,339.82
  5. Step 5: Solve for x
    x = 398,331,339.82/33,005.48
  6. Step 6: Final answer
    x = 12,068.64

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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.