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Finding the Fourth Proportional to 103,322.75, 155,010.14 and 29,450.75

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Solution

The fourth proportional to 103,322.75, 155,010.14 and 29,450.75 is: 44,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.75 : 155,010.14 = 29,450.75 : x
  2. Step 2: Convert to fraction form
    103,322.75/155,010.14 = 29,450.75/x
  3. Step 3: Cross multiply
    103,322.75x = 155,010.14 × 29,450.75
  4. Step 4: Simplify right side
    103,322.75x = 4,565,164,880.61
  5. Step 5: Solve for x
    x = 4,565,164,880.61/103,322.75
  6. Step 6: Final answer
    x = 44,183.54

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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.