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Finding the Fourth Proportional to 101,872.60, 152,809.94 and 30,795.80

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Solution

The fourth proportional to 101,872.60, 152,809.94 and 30,795.80 is: 46,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.60 : 152,809.94 = 30,795.80 : x
  2. Step 2: Convert to fraction form
    101,872.60/152,809.94 = 30,795.80/x
  3. Step 3: Cross multiply
    101,872.60x = 152,809.94 × 30,795.80
  4. Step 4: Simplify right side
    101,872.60x = 4,705,904,350.25
  5. Step 5: Solve for x
    x = 4,705,904,350.25/101,872.60
  6. Step 6: Final answer
    x = 46,194.01

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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.