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Finding the Fourth Proportional to 107,034.21, 160,491.15 and 53,607

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Solution

The fourth proportional to 107,034.21, 160,491.15 and 53,607 is: 80,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,034.21 : 160,491.15 = 53,607 : x
  2. Step 2: Convert to fraction form
    107,034.21/160,491.15 = 53,607/x
  3. Step 3: Cross multiply
    107,034.21x = 160,491.15 × 53,607
  4. Step 4: Simplify right side
    107,034.21x = 8,603,449,078.05
  5. Step 5: Solve for x
    x = 8,603,449,078.05/107,034.21
  6. Step 6: Final answer
    x = 80,380.37

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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.