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Finding the Fourth Proportional to 65,299.29, 97,940.22 and 29,722.26

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Solution

The fourth proportional to 65,299.29, 97,940.22 and 29,722.26 is: 44,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,299.29 : 97,940.22 = 29,722.26 : x
  2. Step 2: Convert to fraction form
    65,299.29/97,940.22 = 29,722.26/x
  3. Step 3: Cross multiply
    65,299.29x = 97,940.22 × 29,722.26
  4. Step 4: Simplify right side
    65,299.29x = 2,911,004,683.30
  5. Step 5: Solve for x
    x = 2,911,004,683.30/65,299.29
  6. Step 6: Final answer
    x = 44,579.42

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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.