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Finding the Fourth Proportional to 30,778.96, 46,176.22 and 8,592.32

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Solution

The fourth proportional to 30,778.96, 46,176.22 and 8,592.32 is: 12,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.96 : 46,176.22 = 8,592.32 : x
  2. Step 2: Convert to fraction form
    30,778.96/46,176.22 = 8,592.32/x
  3. Step 3: Cross multiply
    30,778.96x = 46,176.22 × 8,592.32
  4. Step 4: Simplify right side
    30,778.96x = 396,760,858.63
  5. Step 5: Solve for x
    x = 396,760,858.63/30,778.96
  6. Step 6: Final answer
    x = 12,890.65

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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.