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Finding the Fourth Proportional to 30,985.22, 42,759.06 and 16,838.12

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Solution

The fourth proportional to 30,985.22, 42,759.06 and 16,838.12 is: 23,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.22 : 42,759.06 = 16,838.12 : x
  2. Step 2: Convert to fraction form
    30,985.22/42,759.06 = 16,838.12/x
  3. Step 3: Cross multiply
    30,985.22x = 42,759.06 × 16,838.12
  4. Step 4: Simplify right side
    30,985.22x = 719,982,183.37
  5. Step 5: Solve for x
    x = 719,982,183.37/30,985.22
  6. Step 6: Final answer
    x = 23,236.31

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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.