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Finding the Fourth Proportional to 42,827, 64,197.84 and 20,634.08

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Solution

The fourth proportional to 42,827, 64,197.84 and 20,634.08 is: 30,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,827 : 64,197.84 = 20,634.08 : x
  2. Step 2: Convert to fraction form
    42,827/64,197.84 = 20,634.08/x
  3. Step 3: Cross multiply
    42,827x = 64,197.84 × 20,634.08
  4. Step 4: Simplify right side
    42,827x = 1,324,663,366.39
  5. Step 5: Solve for x
    x = 1,324,663,366.39/42,827
  6. Step 6: Final answer
    x = 30,930.57

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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.