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Finding the Fourth Proportional to 102,708.20, 154,074.30 and 32,594.60

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Solution

The fourth proportional to 102,708.20, 154,074.30 and 32,594.60 is: 48,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.20 : 154,074.30 = 32,594.60 : x
  2. Step 2: Convert to fraction form
    102,708.20/154,074.30 = 32,594.60/x
  3. Step 3: Cross multiply
    102,708.20x = 154,074.30 × 32,594.60
  4. Step 4: Simplify right side
    102,708.20x = 5,021,990,178.78
  5. Step 5: Solve for x
    x = 5,021,990,178.78/102,708.20
  6. Step 6: Final answer
    x = 48,895.71

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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.