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Finding the Fourth Proportional to 29,941.30, 44,915.19 and 11,230.30

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Solution

The fourth proportional to 29,941.30, 44,915.19 and 11,230.30 is: 16,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941.30 : 44,915.19 = 11,230.30 : x
  2. Step 2: Convert to fraction form
    29,941.30/44,915.19 = 11,230.30/x
  3. Step 3: Cross multiply
    29,941.30x = 44,915.19 × 11,230.30
  4. Step 4: Simplify right side
    29,941.30x = 504,411,058.26
  5. Step 5: Solve for x
    x = 504,411,058.26/29,941.30
  6. Step 6: Final answer
    x = 16,846.67

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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.