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Finding the Fourth Proportional to 46,481.44, 69,724.86 and 16,899.16

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Solution

The fourth proportional to 46,481.44, 69,724.86 and 16,899.16 is: 25,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,481.44 : 69,724.86 = 16,899.16 : x
  2. Step 2: Convert to fraction form
    46,481.44/69,724.86 = 16,899.16/x
  3. Step 3: Cross multiply
    46,481.44x = 69,724.86 × 16,899.16
  4. Step 4: Simplify right side
    46,481.44x = 1,178,291,565.12
  5. Step 5: Solve for x
    x = 1,178,291,565.12/46,481.44
  6. Step 6: Final answer
    x = 25,349.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.