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Finding the Fourth Proportional to 49,409, 74,121.18 and 16,584.68

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Solution

The fourth proportional to 49,409, 74,121.18 and 16,584.68 is: 24,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,409 : 74,121.18 = 16,584.68 : x
  2. Step 2: Convert to fraction form
    49,409/74,121.18 = 16,584.68/x
  3. Step 3: Cross multiply
    49,409x = 74,121.18 × 16,584.68
  4. Step 4: Simplify right side
    49,409x = 1,229,276,051.52
  5. Step 5: Solve for x
    x = 1,229,276,051.52/49,409
  6. Step 6: Final answer
    x = 24,879.60

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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.