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Finding the Fourth Proportional to 34,221.18, 51,333.21 and 11,747.34

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Solution

The fourth proportional to 34,221.18, 51,333.21 and 11,747.34 is: 17,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221.18 : 51,333.21 = 11,747.34 : x
  2. Step 2: Convert to fraction form
    34,221.18/51,333.21 = 11,747.34/x
  3. Step 3: Cross multiply
    34,221.18x = 51,333.21 × 11,747.34
  4. Step 4: Simplify right side
    34,221.18x = 603,028,671.16
  5. Step 5: Solve for x
    x = 603,028,671.16/34,221.18
  6. Step 6: Final answer
    x = 17,621.50

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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.