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Finding the Fourth Proportional to 29,224.42, 43,839.06 and 12,584.86

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Solution

The fourth proportional to 29,224.42, 43,839.06 and 12,584.86 is: 18,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.42 : 43,839.06 = 12,584.86 : x
  2. Step 2: Convert to fraction form
    29,224.42/43,839.06 = 12,584.86/x
  3. Step 3: Cross multiply
    29,224.42x = 43,839.06 × 12,584.86
  4. Step 4: Simplify right side
    29,224.42x = 551,708,432.63
  5. Step 5: Solve for x
    x = 551,708,432.63/29,224.42
  6. Step 6: Final answer
    x = 18,878.34

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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.