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Finding the Fourth Proportional to 36,823.02, 50,799.60 and 24,882

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Solution

The fourth proportional to 36,823.02, 50,799.60 and 24,882 is: 34,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,823.02 : 50,799.60 = 24,882 : x
  2. Step 2: Convert to fraction form
    36,823.02/50,799.60 = 24,882/x
  3. Step 3: Cross multiply
    36,823.02x = 50,799.60 × 24,882
  4. Step 4: Simplify right side
    36,823.02x = 1,263,995,647.20
  5. Step 5: Solve for x
    x = 1,263,995,647.20/36,823.02
  6. Step 6: Final answer
    x = 34,326.24

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