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Finding the Fourth Proportional to 106,676.49, 160,023.90 and 27,790.59

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Solution

The fourth proportional to 106,676.49, 160,023.90 and 27,790.59 is: 41,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676.49 : 160,023.90 = 27,790.59 : x
  2. Step 2: Convert to fraction form
    106,676.49/160,023.90 = 27,790.59/x
  3. Step 3: Cross multiply
    106,676.49x = 160,023.90 × 27,790.59
  4. Step 4: Simplify right side
    106,676.49x = 4,447,159,299.41
  5. Step 5: Solve for x
    x = 4,447,159,299.41/106,676.49
  6. Step 6: Final answer
    x = 41,688.28

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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.