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Finding the Fourth Proportional to 103,323.56, 154,970.62 and 33,193.80

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Solution

The fourth proportional to 103,323.56, 154,970.62 and 33,193.80 is: 49,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,323.56 : 154,970.62 = 33,193.80 : x
  2. Step 2: Convert to fraction form
    103,323.56/154,970.62 = 33,193.80/x
  3. Step 3: Cross multiply
    103,323.56x = 154,970.62 × 33,193.80
  4. Step 4: Simplify right side
    103,323.56x = 5,144,063,766.16
  5. Step 5: Solve for x
    x = 5,144,063,766.16/103,323.56
  6. Step 6: Final answer
    x = 49,785.97

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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.