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Finding the Fourth Proportional to 50,808, 70,117.20 and 29,583.84

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Solution

The fourth proportional to 50,808, 70,117.20 and 29,583.84 is: 40,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,808 : 70,117.20 = 29,583.84 : x
  2. Step 2: Convert to fraction form
    50,808/70,117.20 = 29,583.84/x
  3. Step 3: Cross multiply
    50,808x = 70,117.20 × 29,583.84
  4. Step 4: Simplify right side
    50,808x = 2,074,336,026.05
  5. Step 5: Solve for x
    x = 2,074,336,026.05/50,808
  6. Step 6: Final answer
    x = 40,826.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.