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Finding the Fourth Proportional to 29,381, 44,071.50 and 7,493

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Solution

The fourth proportional to 29,381, 44,071.50 and 7,493 is: 11,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381 : 44,071.50 = 7,493 : x
  2. Step 2: Convert to fraction form
    29,381/44,071.50 = 7,493/x
  3. Step 3: Cross multiply
    29,381x = 44,071.50 × 7,493
  4. Step 4: Simplify right side
    29,381x = 330,227,749.50
  5. Step 5: Solve for x
    x = 330,227,749.50/29,381
  6. Step 6: Final answer
    x = 11,239.50

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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.