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Finding the Fourth Proportional to 30,997.43, 46,489.16 and 8,810.32

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Solution

The fourth proportional to 30,997.43, 46,489.16 and 8,810.32 is: 13,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.43 : 46,489.16 = 8,810.32 : x
  2. Step 2: Convert to fraction form
    30,997.43/46,489.16 = 8,810.32/x
  3. Step 3: Cross multiply
    30,997.43x = 46,489.16 × 8,810.32
  4. Step 4: Simplify right side
    30,997.43x = 409,584,281.93
  5. Step 5: Solve for x
    x = 409,584,281.93/30,997.43
  6. Step 6: Final answer
    x = 13,213.49

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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.