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Finding the Fourth Proportional to 43,872.86, 65,794.54 and 14,283.74

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Solution

The fourth proportional to 43,872.86, 65,794.54 and 14,283.74 is: 21,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872.86 : 65,794.54 = 14,283.74 : x
  2. Step 2: Convert to fraction form
    43,872.86/65,794.54 = 14,283.74/x
  3. Step 3: Cross multiply
    43,872.86x = 65,794.54 × 14,283.74
  4. Step 4: Simplify right side
    43,872.86x = 939,792,102.78
  5. Step 5: Solve for x
    x = 939,792,102.78/43,872.86
  6. Step 6: Final answer
    x = 21,420.81

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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.