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Finding the Fourth Proportional to 34,176.50, 47,165.40 and 20,033.90

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Solution

The fourth proportional to 34,176.50, 47,165.40 and 20,033.90 is: 27,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.50 : 47,165.40 = 20,033.90 : x
  2. Step 2: Convert to fraction form
    34,176.50/47,165.40 = 20,033.90/x
  3. Step 3: Cross multiply
    34,176.50x = 47,165.40 × 20,033.90
  4. Step 4: Simplify right side
    34,176.50x = 944,906,806.89
  5. Step 5: Solve for x
    x = 944,906,806.89/34,176.50
  6. Step 6: Final answer
    x = 27,647.85

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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.