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Finding the Fourth Proportional to 24,841, 37,261.20 and 10,049.80

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Solution

The fourth proportional to 24,841, 37,261.20 and 10,049.80 is: 15,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841 : 37,261.20 = 10,049.80 : x
  2. Step 2: Convert to fraction form
    24,841/37,261.20 = 10,049.80/x
  3. Step 3: Cross multiply
    24,841x = 37,261.20 × 10,049.80
  4. Step 4: Simplify right side
    24,841x = 374,467,607.76
  5. Step 5: Solve for x
    x = 374,467,607.76/24,841
  6. Step 6: Final answer
    x = 15,074.58

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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.