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Finding the Fourth Proportional to 29,834, 44,751.28 and 9,057.50

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Solution

The fourth proportional to 29,834, 44,751.28 and 9,057.50 is: 13,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834 : 44,751.28 = 9,057.50 : x
  2. Step 2: Convert to fraction form
    29,834/44,751.28 = 9,057.50/x
  3. Step 3: Cross multiply
    29,834x = 44,751.28 × 9,057.50
  4. Step 4: Simplify right side
    29,834x = 405,334,718.60
  5. Step 5: Solve for x
    x = 405,334,718.60/29,834
  6. Step 6: Final answer
    x = 13,586.34

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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.