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Finding the Fourth Proportional to 42,549.68, 63,729.48 and 30,836

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Solution

The fourth proportional to 42,549.68, 63,729.48 and 30,836 is: 46,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549.68 : 63,729.48 = 30,836 : x
  2. Step 2: Convert to fraction form
    42,549.68/63,729.48 = 30,836/x
  3. Step 3: Cross multiply
    42,549.68x = 63,729.48 × 30,836
  4. Step 4: Simplify right side
    42,549.68x = 1,965,162,245.28
  5. Step 5: Solve for x
    x = 1,965,162,245.28/42,549.68
  6. Step 6: Final answer
    x = 46,185.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.