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Finding the Fourth Proportional to 29,379.72, 44,072.34 and 9,658.32

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Solution

The fourth proportional to 29,379.72, 44,072.34 and 9,658.32 is: 14,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,379.72 : 44,072.34 = 9,658.32 : x
  2. Step 2: Convert to fraction form
    29,379.72/44,072.34 = 9,658.32/x
  3. Step 3: Cross multiply
    29,379.72x = 44,072.34 × 9,658.32
  4. Step 4: Simplify right side
    29,379.72x = 425,664,762.87
  5. Step 5: Solve for x
    x = 425,664,762.87/29,379.72
  6. Step 6: Final answer
    x = 14,488.39

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Why These Related Problems?

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