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Finding the Fourth Proportional to 30,997.52, 46,481.76 and 11,262.32

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Solution

The fourth proportional to 30,997.52, 46,481.76 and 11,262.32 is: 16,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.52 : 46,481.76 = 11,262.32 : x
  2. Step 2: Convert to fraction form
    30,997.52/46,481.76 = 11,262.32/x
  3. Step 3: Cross multiply
    30,997.52x = 46,481.76 × 11,262.32
  4. Step 4: Simplify right side
    30,997.52x = 523,492,455.28
  5. Step 5: Solve for x
    x = 523,492,455.28/30,997.52
  6. Step 6: Final answer
    x = 16,888.20

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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.