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Finding the Fourth Proportional to 29,772.34, 41,085.72 and 16,160.38

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Solution

The fourth proportional to 29,772.34, 41,085.72 and 16,160.38 is: 22,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.34 : 41,085.72 = 16,160.38 : x
  2. Step 2: Convert to fraction form
    29,772.34/41,085.72 = 16,160.38/x
  3. Step 3: Cross multiply
    29,772.34x = 41,085.72 × 16,160.38
  4. Step 4: Simplify right side
    29,772.34x = 663,960,847.77
  5. Step 5: Solve for x
    x = 663,960,847.77/29,772.34
  6. Step 6: Final answer
    x = 22,301.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.