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Finding the Fourth Proportional to 30,997.68, 46,496.12 and 7,624.32

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Solution

The fourth proportional to 30,997.68, 46,496.12 and 7,624.32 is: 11,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.68 : 46,496.12 = 7,624.32 : x
  2. Step 2: Convert to fraction form
    30,997.68/46,496.12 = 7,624.32/x
  3. Step 3: Cross multiply
    30,997.68x = 46,496.12 × 7,624.32
  4. Step 4: Simplify right side
    30,997.68x = 354,501,297.64
  5. Step 5: Solve for x
    x = 354,501,297.64/30,997.68
  6. Step 6: Final answer
    x = 11,436.38

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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.