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Finding the Fourth Proportional to 29,439.50, 44,148.44 and 9,712.22

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Solution

The fourth proportional to 29,439.50, 44,148.44 and 9,712.22 is: 14,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439.50 : 44,148.44 = 9,712.22 : x
  2. Step 2: Convert to fraction form
    29,439.50/44,148.44 = 9,712.22/x
  3. Step 3: Cross multiply
    29,439.50x = 44,148.44 × 9,712.22
  4. Step 4: Simplify right side
    29,439.50x = 428,779,361.94
  5. Step 5: Solve for x
    x = 428,779,361.94/29,439.50
  6. Step 6: Final answer
    x = 14,564.76

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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.