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Finding the Fourth Proportional to 29,658.50, 44,487.74 and 9,937.09

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Solution

The fourth proportional to 29,658.50, 44,487.74 and 9,937.09 is: 14,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.50 : 44,487.74 = 9,937.09 : x
  2. Step 2: Convert to fraction form
    29,658.50/44,487.74 = 9,937.09/x
  3. Step 3: Cross multiply
    29,658.50x = 44,487.74 × 9,937.09
  4. Step 4: Simplify right side
    29,658.50x = 442,078,589.90
  5. Step 5: Solve for x
    x = 442,078,589.90/29,658.50
  6. Step 6: Final answer
    x = 14,905.63

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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.