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Finding the Fourth Proportional to 101,740, 152,611.08 and 27,868

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Solution

The fourth proportional to 101,740, 152,611.08 and 27,868 is: 41,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740 : 152,611.08 = 27,868 : x
  2. Step 2: Convert to fraction form
    101,740/152,611.08 = 27,868/x
  3. Step 3: Cross multiply
    101,740x = 152,611.08 × 27,868
  4. Step 4: Simplify right side
    101,740x = 4,252,965,577.44
  5. Step 5: Solve for x
    x = 4,252,965,577.44/101,740
  6. Step 6: Final answer
    x = 41,802.30

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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.