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Finding the Fourth Proportional to 30,989.53, 42,765.83 and 16,842.39

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Solution

The fourth proportional to 30,989.53, 42,765.83 and 16,842.39 is: 23,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.53 : 42,765.83 = 16,842.39 : x
  2. Step 2: Convert to fraction form
    30,989.53/42,765.83 = 16,842.39/x
  3. Step 3: Cross multiply
    30,989.53x = 42,765.83 × 16,842.39
  4. Step 4: Simplify right side
    30,989.53x = 720,278,787.53
  5. Step 5: Solve for x
    x = 720,278,787.53/30,989.53
  6. Step 6: Final answer
    x = 23,242.65

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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.