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Finding the Fourth Proportional to 30,851.82, 42,575.36 and 16,704.63

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Solution

The fourth proportional to 30,851.82, 42,575.36 and 16,704.63 is: 23,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.82 : 42,575.36 = 16,704.63 : x
  2. Step 2: Convert to fraction form
    30,851.82/42,575.36 = 16,704.63/x
  3. Step 3: Cross multiply
    30,851.82x = 42,575.36 × 16,704.63
  4. Step 4: Simplify right side
    30,851.82x = 711,205,552.39
  5. Step 5: Solve for x
    x = 711,205,552.39/30,851.82
  6. Step 6: Final answer
    x = 23,052.30

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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.