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Finding the Fourth Proportional to 32,243, 48,375.30 and 29,137.40

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Solution

The fourth proportional to 32,243, 48,375.30 and 29,137.40 is: 43,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243 : 48,375.30 = 29,137.40 : x
  2. Step 2: Convert to fraction form
    32,243/48,375.30 = 29,137.40/x
  3. Step 3: Cross multiply
    32,243x = 48,375.30 × 29,137.40
  4. Step 4: Simplify right side
    32,243x = 1,409,530,466.22
  5. Step 5: Solve for x
    x = 1,409,530,466.22/32,243
  6. Step 6: Final answer
    x = 43,715.86

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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.