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Finding the Fourth Proportional to 97,740, 146,611.44 and 23,868

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Solution

The fourth proportional to 97,740, 146,611.44 and 23,868 is: 35,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740 : 146,611.44 = 23,868 : x
  2. Step 2: Convert to fraction form
    97,740/146,611.44 = 23,868/x
  3. Step 3: Cross multiply
    97,740x = 146,611.44 × 23,868
  4. Step 4: Simplify right side
    97,740x = 3,499,321,849.92
  5. Step 5: Solve for x
    x = 3,499,321,849.92/97,740
  6. Step 6: Final answer
    x = 35,802.35

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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.