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Finding the Fourth Proportional to 29,747.64, 44,603.64 and 9,475.65

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Solution

The fourth proportional to 29,747.64, 44,603.64 and 9,475.65 is: 14,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747.64 : 44,603.64 = 9,475.65 : x
  2. Step 2: Convert to fraction form
    29,747.64/44,603.64 = 9,475.65/x
  3. Step 3: Cross multiply
    29,747.64x = 44,603.64 × 9,475.65
  4. Step 4: Simplify right side
    29,747.64x = 422,648,481.37
  5. Step 5: Solve for x
    x = 422,648,481.37/29,747.64
  6. Step 6: Final answer
    x = 14,207.80

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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.