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Finding the Fourth Proportional to 29,646, 44,471.16 and 8,871.12

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Solution

The fourth proportional to 29,646, 44,471.16 and 8,871.12 is: 13,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 44,471.16 = 8,871.12 : x
  2. Step 2: Convert to fraction form
    29,646/44,471.16 = 8,871.12/x
  3. Step 3: Cross multiply
    29,646x = 44,471.16 × 8,871.12
  4. Step 4: Simplify right side
    29,646x = 394,508,996.90
  5. Step 5: Solve for x
    x = 394,508,996.90/29,646
  6. Step 6: Final answer
    x = 13,307.33

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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.