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Finding the Fourth Proportional to 103,822.70, 155,676.45 and 44,648.30

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Solution

The fourth proportional to 103,822.70, 155,676.45 and 44,648.30 is: 66,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,822.70 : 155,676.45 = 44,648.30 : x
  2. Step 2: Convert to fraction form
    103,822.70/155,676.45 = 44,648.30/x
  3. Step 3: Cross multiply
    103,822.70x = 155,676.45 × 44,648.30
  4. Step 4: Simplify right side
    103,822.70x = 6,950,688,842.54
  5. Step 5: Solve for x
    x = 6,950,688,842.54/103,822.70
  6. Step 6: Final answer
    x = 66,947.68

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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.