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Finding the Fourth Proportional to 30,998.50, 42,777.83 and 16,851.24

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Solution

The fourth proportional to 30,998.50, 42,777.83 and 16,851.24 is: 23,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.50 : 42,777.83 = 16,851.24 : x
  2. Step 2: Convert to fraction form
    30,998.50/42,777.83 = 16,851.24/x
  3. Step 3: Cross multiply
    30,998.50x = 42,777.83 × 16,851.24
  4. Step 4: Simplify right side
    30,998.50x = 720,859,544.83
  5. Step 5: Solve for x
    x = 720,859,544.83/30,998.50
  6. Step 6: Final answer
    x = 23,254.66

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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.