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Finding the Fourth Proportional to 30,971.60, 42,739.20 and 16,824.42

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Solution

The fourth proportional to 30,971.60, 42,739.20 and 16,824.42 is: 23,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.60 : 42,739.20 = 16,824.42 : x
  2. Step 2: Convert to fraction form
    30,971.60/42,739.20 = 16,824.42/x
  3. Step 3: Cross multiply
    30,971.60x = 42,739.20 × 16,824.42
  4. Step 4: Simplify right side
    30,971.60x = 719,062,251.26
  5. Step 5: Solve for x
    x = 719,062,251.26/30,971.60
  6. Step 6: Final answer
    x = 23,216.83

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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.