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Finding the Fourth Proportional to 29,408, 44,082.80 and 16,266.56

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Solution

The fourth proportional to 29,408, 44,082.80 and 16,266.56 is: 24,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 44,082.80 = 16,266.56 : x
  2. Step 2: Convert to fraction form
    29,408/44,082.80 = 16,266.56/x
  3. Step 3: Cross multiply
    29,408x = 44,082.80 × 16,266.56
  4. Step 4: Simplify right side
    29,408x = 717,075,511.17
  5. Step 5: Solve for x
    x = 717,075,511.17/29,408
  6. Step 6: Final answer
    x = 24,383.69

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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.