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Finding the Fourth Proportional to 30,731.60, 46,098.32 and 8,546.64

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Solution

The fourth proportional to 30,731.60, 46,098.32 and 8,546.64 is: 12,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.60 : 46,098.32 = 8,546.64 : x
  2. Step 2: Convert to fraction form
    30,731.60/46,098.32 = 8,546.64/x
  3. Step 3: Cross multiply
    30,731.60x = 46,098.32 × 8,546.64
  4. Step 4: Simplify right side
    30,731.60x = 393,985,745.64
  5. Step 5: Solve for x
    x = 393,985,745.64/30,731.60
  6. Step 6: Final answer
    x = 12,820.22

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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.