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Finding the Fourth Proportional to 36,824.02, 50,800.98 and 24,883

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Solution

The fourth proportional to 36,824.02, 50,800.98 and 24,883 is: 34,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,824.02 : 50,800.98 = 24,883 : x
  2. Step 2: Convert to fraction form
    36,824.02/50,800.98 = 24,883/x
  3. Step 3: Cross multiply
    36,824.02x = 50,800.98 × 24,883
  4. Step 4: Simplify right side
    36,824.02x = 1,264,080,785.34
  5. Step 5: Solve for x
    x = 1,264,080,785.34/36,824.02
  6. Step 6: Final answer
    x = 34,327.62

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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.