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Finding the Fourth Proportional to 30,676.32, 46,016.91 and 8,187.08

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Solution

The fourth proportional to 30,676.32, 46,016.91 and 8,187.08 is: 12,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.32 : 46,016.91 = 8,187.08 : x
  2. Step 2: Convert to fraction form
    30,676.32/46,016.91 = 8,187.08/x
  3. Step 3: Cross multiply
    30,676.32x = 46,016.91 × 8,187.08
  4. Step 4: Simplify right side
    30,676.32x = 376,743,893.44
  5. Step 5: Solve for x
    x = 376,743,893.44/30,676.32
  6. Step 6: Final answer
    x = 12,281.26

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1.5x scale

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.