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Finding the Fourth Proportional to 49,382.64, 74,048.74 and 16,081.32

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Solution

The fourth proportional to 49,382.64, 74,048.74 and 16,081.32 is: 24,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.64 : 74,048.74 = 16,081.32 : x
  2. Step 2: Convert to fraction form
    49,382.64/74,048.74 = 16,081.32/x
  3. Step 3: Cross multiply
    49,382.64x = 74,048.74 × 16,081.32
  4. Step 4: Simplify right side
    49,382.64x = 1,190,801,483.54
  5. Step 5: Solve for x
    x = 1,190,801,483.54/49,382.64
  6. Step 6: Final answer
    x = 24,113.77

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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.