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Finding the Fourth Proportional to 29,723.82, 44,588.16 and 9,997.08

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Solution

The fourth proportional to 29,723.82, 44,588.16 and 9,997.08 is: 14,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723.82 : 44,588.16 = 9,997.08 : x
  2. Step 2: Convert to fraction form
    29,723.82/44,588.16 = 9,997.08/x
  3. Step 3: Cross multiply
    29,723.82x = 44,588.16 × 9,997.08
  4. Step 4: Simplify right side
    29,723.82x = 445,751,402.57
  5. Step 5: Solve for x
    x = 445,751,402.57/29,723.82
  6. Step 6: Final answer
    x = 14,996.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.