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Finding the Fourth Proportional to 30,993, 42,770.18 and 16,845.92

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Solution

The fourth proportional to 30,993, 42,770.18 and 16,845.92 is: 23,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993 : 42,770.18 = 16,845.92 : x
  2. Step 2: Convert to fraction form
    30,993/42,770.18 = 16,845.92/x
  3. Step 3: Cross multiply
    30,993x = 42,770.18 × 16,845.92
  4. Step 4: Simplify right side
    30,993x = 720,503,030.67
  5. Step 5: Solve for x
    x = 720,503,030.67/30,993
  6. Step 6: Final answer
    x = 23,247.28

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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.