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Finding the Fourth Proportional to 100,644.07, 150,966.75 and 29,566.42

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Solution

The fourth proportional to 100,644.07, 150,966.75 and 29,566.42 is: 44,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.07 : 150,966.75 = 29,566.42 : x
  2. Step 2: Convert to fraction form
    100,644.07/150,966.75 = 29,566.42/x
  3. Step 3: Cross multiply
    100,644.07x = 150,966.75 × 29,566.42
  4. Step 4: Simplify right side
    100,644.07x = 4,463,545,820.53
  5. Step 5: Solve for x
    x = 4,463,545,820.53/100,644.07
  6. Step 6: Final answer
    x = 44,349.81

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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.