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Finding the Fourth Proportional to 103,227, 154,866.50 and 29,355

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Solution

The fourth proportional to 103,227, 154,866.50 and 29,355 is: 44,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,227 : 154,866.50 = 29,355 : x
  2. Step 2: Convert to fraction form
    103,227/154,866.50 = 29,355/x
  3. Step 3: Cross multiply
    103,227x = 154,866.50 × 29,355
  4. Step 4: Simplify right side
    103,227x = 4,546,106,107.50
  5. Step 5: Solve for x
    x = 4,546,106,107.50/103,227
  6. Step 6: Final answer
    x = 44,039.89

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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.