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Finding the Fourth Proportional to 29,408, 44,114.31 and 8,347.70

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Solution

The fourth proportional to 29,408, 44,114.31 and 8,347.70 is: 12,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 44,114.31 = 8,347.70 : x
  2. Step 2: Convert to fraction form
    29,408/44,114.31 = 8,347.70/x
  3. Step 3: Cross multiply
    29,408x = 44,114.31 × 8,347.70
  4. Step 4: Simplify right side
    29,408x = 368,253,025.59
  5. Step 5: Solve for x
    x = 368,253,025.59/29,408
  6. Step 6: Final answer
    x = 12,522.21

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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.