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Finding the Fourth Proportional to 43,872, 60,543.60 and 24,000

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Solution

The fourth proportional to 43,872, 60,543.60 and 24,000 is: 33,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,872 : 60,543.60 = 24,000 : x
  2. Step 2: Convert to fraction form
    43,872/60,543.60 = 24,000/x
  3. Step 3: Cross multiply
    43,872x = 60,543.60 × 24,000
  4. Step 4: Simplify right side
    43,872x = 1,453,046,400
  5. Step 5: Solve for x
    x = 1,453,046,400/43,872
  6. Step 6: Final answer
    x = 33,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.