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Finding the Fourth Proportional to 49,734.50, 74,605.46 and 16,478.10

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Solution

The fourth proportional to 49,734.50, 74,605.46 and 16,478.10 is: 24,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734.50 : 74,605.46 = 16,478.10 : x
  2. Step 2: Convert to fraction form
    49,734.50/74,605.46 = 16,478.10/x
  3. Step 3: Cross multiply
    49,734.50x = 74,605.46 × 16,478.10
  4. Step 4: Simplify right side
    49,734.50x = 1,229,356,148.04
  5. Step 5: Solve for x
    x = 1,229,356,148.04/49,734.50
  6. Step 6: Final answer
    x = 24,718.38

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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.