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Finding the Fourth Proportional to 29,665, 44,462.94 and 16,511.08

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Solution

The fourth proportional to 29,665, 44,462.94 and 16,511.08 is: 24,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665 : 44,462.94 = 16,511.08 : x
  2. Step 2: Convert to fraction form
    29,665/44,462.94 = 16,511.08/x
  3. Step 3: Cross multiply
    29,665x = 44,462.94 × 16,511.08
  4. Step 4: Simplify right side
    29,665x = 734,131,159.38
  5. Step 5: Solve for x
    x = 734,131,159.38/29,665
  6. Step 6: Final answer
    x = 24,747.38

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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.