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Finding the Fourth Proportional to 24,843, 37,275.30 and 12,375.48

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Solution

The fourth proportional to 24,843, 37,275.30 and 12,375.48 is: 18,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843 : 37,275.30 = 12,375.48 : x
  2. Step 2: Convert to fraction form
    24,843/37,275.30 = 12,375.48/x
  3. Step 3: Cross multiply
    24,843x = 37,275.30 × 12,375.48
  4. Step 4: Simplify right side
    24,843x = 461,299,729.64
  5. Step 5: Solve for x
    x = 461,299,729.64/24,843
  6. Step 6: Final answer
    x = 18,568.60

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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.