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Finding the Fourth Proportional to 101,908.80, 152,884.80 and 30,825.60

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Solution

The fourth proportional to 101,908.80, 152,884.80 and 30,825.60 is: 46,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908.80 : 152,884.80 = 30,825.60 : x
  2. Step 2: Convert to fraction form
    101,908.80/152,884.80 = 30,825.60/x
  3. Step 3: Cross multiply
    101,908.80x = 152,884.80 × 30,825.60
  4. Step 4: Simplify right side
    101,908.80x = 4,712,765,690.88
  5. Step 5: Solve for x
    x = 4,712,765,690.88/101,908.80
  6. Step 6: Final answer
    x = 46,244.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.