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Finding the Fourth Proportional to 70,183.47, 105,284.12 and 32,223.50

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Solution

The fourth proportional to 70,183.47, 105,284.12 and 32,223.50 is: 48,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,183.47 : 105,284.12 = 32,223.50 : x
  2. Step 2: Convert to fraction form
    70,183.47/105,284.12 = 32,223.50/x
  3. Step 3: Cross multiply
    70,183.47x = 105,284.12 × 32,223.50
  4. Step 4: Simplify right side
    70,183.47x = 3,392,622,153.28
  5. Step 5: Solve for x
    x = 3,392,622,153.28/70,183.47
  6. Step 6: Final answer
    x = 48,339.33

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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.