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Finding the Fourth Proportional to 30,967.36, 42,734.97 and 16,820.50

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Solution

The fourth proportional to 30,967.36, 42,734.97 and 16,820.50 is: 23,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.36 : 42,734.97 = 16,820.50 : x
  2. Step 2: Convert to fraction form
    30,967.36/42,734.97 = 16,820.50/x
  3. Step 3: Cross multiply
    30,967.36x = 42,734.97 × 16,820.50
  4. Step 4: Simplify right side
    30,967.36x = 718,823,562.89
  5. Step 5: Solve for x
    x = 718,823,562.89/30,967.36
  6. Step 6: Final answer
    x = 23,212.30

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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.