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Finding the Fourth Proportional to 30,775.96, 46,171.72 and 8,589.32

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Solution

The fourth proportional to 30,775.96, 46,171.72 and 8,589.32 is: 12,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.96 : 46,171.72 = 8,589.32 : x
  2. Step 2: Convert to fraction form
    30,775.96/46,171.72 = 8,589.32/x
  3. Step 3: Cross multiply
    30,775.96x = 46,171.72 × 8,589.32
  4. Step 4: Simplify right side
    30,775.96x = 396,583,678.03
  5. Step 5: Solve for x
    x = 396,583,678.03/30,775.96
  6. Step 6: Final answer
    x = 12,886.15

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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.