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Finding the Fourth Proportional to 30,589.30, 42,213.72 and 16,976.98

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Solution

The fourth proportional to 30,589.30, 42,213.72 and 16,976.98 is: 23,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.30 : 42,213.72 = 16,976.98 : x
  2. Step 2: Convert to fraction form
    30,589.30/42,213.72 = 16,976.98/x
  3. Step 3: Cross multiply
    30,589.30x = 42,213.72 × 16,976.98
  4. Step 4: Simplify right side
    30,589.30x = 716,661,480.17
  5. Step 5: Solve for x
    x = 716,661,480.17/30,589.30
  6. Step 6: Final answer
    x = 23,428.50

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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.