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Finding the Fourth Proportional to 29,854.98, 44,767.02 and 8,792.28

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Solution

The fourth proportional to 29,854.98, 44,767.02 and 8,792.28 is: 13,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.98 : 44,767.02 = 8,792.28 : x
  2. Step 2: Convert to fraction form
    29,854.98/44,767.02 = 8,792.28/x
  3. Step 3: Cross multiply
    29,854.98x = 44,767.02 × 8,792.28
  4. Step 4: Simplify right side
    29,854.98x = 393,604,174.61
  5. Step 5: Solve for x
    x = 393,604,174.61/29,854.98
  6. Step 6: Final answer
    x = 13,183.87

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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.