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Finding the Fourth Proportional to 30,983.31, 42,756.88 and 16,836.16

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Solution

The fourth proportional to 30,983.31, 42,756.88 and 16,836.16 is: 23,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.31 : 42,756.88 = 16,836.16 : x
  2. Step 2: Convert to fraction form
    30,983.31/42,756.88 = 16,836.16/x
  3. Step 3: Cross multiply
    30,983.31x = 42,756.88 × 16,836.16
  4. Step 4: Simplify right side
    30,983.31x = 719,861,672.78
  5. Step 5: Solve for x
    x = 719,861,672.78/30,983.31
  6. Step 6: Final answer
    x = 23,233.85

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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.