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Finding the Fourth Proportional to 29,940.78, 44,909.04 and 10,233.18

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Solution

The fourth proportional to 29,940.78, 44,909.04 and 10,233.18 is: 15,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.78 : 44,909.04 = 10,233.18 : x
  2. Step 2: Convert to fraction form
    29,940.78/44,909.04 = 10,233.18/x
  3. Step 3: Cross multiply
    29,940.78x = 44,909.04 × 10,233.18
  4. Step 4: Simplify right side
    29,940.78x = 459,562,289.95
  5. Step 5: Solve for x
    x = 459,562,289.95/29,940.78
  6. Step 6: Final answer
    x = 15,349.04

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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.