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Finding the Fourth Proportional to 29,847, 44,737.71 and 12,307.26

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Solution

The fourth proportional to 29,847, 44,737.71 and 12,307.26 is: 18,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847 : 44,737.71 = 12,307.26 : x
  2. Step 2: Convert to fraction form
    29,847/44,737.71 = 12,307.26/x
  3. Step 3: Cross multiply
    29,847x = 44,737.71 × 12,307.26
  4. Step 4: Simplify right side
    29,847x = 550,598,628.77
  5. Step 5: Solve for x
    x = 550,598,628.77/29,847
  6. Step 6: Final answer
    x = 18,447.37

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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.