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Finding the Fourth Proportional to 107,049.60, 160,509.60 and 47,874.24

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Solution

The fourth proportional to 107,049.60, 160,509.60 and 47,874.24 is: 71,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.60 : 160,509.60 = 47,874.24 : x
  2. Step 2: Convert to fraction form
    107,049.60/160,509.60 = 47,874.24/x
  3. Step 3: Cross multiply
    107,049.60x = 160,509.60 × 47,874.24
  4. Step 4: Simplify right side
    107,049.60x = 7,684,275,112.70
  5. Step 5: Solve for x
    x = 7,684,275,112.70/107,049.60
  6. Step 6: Final answer
    x = 71,782.38

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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.