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Finding the Fourth Proportional to 29,357.69, 44,038.91 and 8,297.91

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Solution

The fourth proportional to 29,357.69, 44,038.91 and 8,297.91 is: 12,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.69 : 44,038.91 = 8,297.91 : x
  2. Step 2: Convert to fraction form
    29,357.69/44,038.91 = 8,297.91/x
  3. Step 3: Cross multiply
    29,357.69x = 44,038.91 × 8,297.91
  4. Step 4: Simplify right side
    29,357.69x = 365,430,932.42
  5. Step 5: Solve for x
    x = 365,430,932.42/29,357.69
  6. Step 6: Final answer
    x = 12,447.54

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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.