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Finding the Fourth Proportional to 34,682.40, 47,862 and 20,350.80

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Solution

The fourth proportional to 34,682.40, 47,862 and 20,350.80 is: 28,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.40 : 47,862 = 20,350.80 : x
  2. Step 2: Convert to fraction form
    34,682.40/47,862 = 20,350.80/x
  3. Step 3: Cross multiply
    34,682.40x = 47,862 × 20,350.80
  4. Step 4: Simplify right side
    34,682.40x = 974,029,989.60
  5. Step 5: Solve for x
    x = 974,029,989.60/34,682.40
  6. Step 6: Final answer
    x = 28,084.27

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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.