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Finding the Fourth Proportional to 30,796.05, 42,498.60 and 16,648.91

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Solution

The fourth proportional to 30,796.05, 42,498.60 and 16,648.91 is: 22,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.05 : 42,498.60 = 16,648.91 : x
  2. Step 2: Convert to fraction form
    30,796.05/42,498.60 = 16,648.91/x
  3. Step 3: Cross multiply
    30,796.05x = 42,498.60 × 16,648.91
  4. Step 4: Simplify right side
    30,796.05x = 707,555,154.03
  5. Step 5: Solve for x
    x = 707,555,154.03/30,796.05
  6. Step 6: Final answer
    x = 22,975.52

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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.