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Finding the Fourth Proportional to 33,005.85, 49,516.07 and 16,374.93

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Solution

The fourth proportional to 33,005.85, 49,516.07 and 16,374.93 is: 24,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.85 : 49,516.07 = 16,374.93 : x
  2. Step 2: Convert to fraction form
    33,005.85/49,516.07 = 16,374.93/x
  3. Step 3: Cross multiply
    33,005.85x = 49,516.07 × 16,374.93
  4. Step 4: Simplify right side
    33,005.85x = 810,822,098.25
  5. Step 5: Solve for x
    x = 810,822,098.25/33,005.85
  6. Step 6: Final answer
    x = 24,566.01

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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.