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Finding the Fourth Proportional to 29,658.72, 44,486.49 and 7,472.07

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Solution

The fourth proportional to 29,658.72, 44,486.49 and 7,472.07 is: 11,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.72 : 44,486.49 = 7,472.07 : x
  2. Step 2: Convert to fraction form
    29,658.72/44,486.49 = 7,472.07/x
  3. Step 3: Cross multiply
    29,658.72x = 44,486.49 × 7,472.07
  4. Step 4: Simplify right side
    29,658.72x = 332,406,167.33
  5. Step 5: Solve for x
    x = 332,406,167.33/29,658.72
  6. Step 6: Final answer
    x = 11,207.70

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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.