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Finding the Fourth Proportional to 30,983.34, 42,757.50 and 16,836.18

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Solution

The fourth proportional to 30,983.34, 42,757.50 and 16,836.18 is: 23,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.34 : 42,757.50 = 16,836.18 : x
  2. Step 2: Convert to fraction form
    30,983.34/42,757.50 = 16,836.18/x
  3. Step 3: Cross multiply
    30,983.34x = 42,757.50 × 16,836.18
  4. Step 4: Simplify right side
    30,983.34x = 719,872,966.35
  5. Step 5: Solve for x
    x = 719,872,966.35/30,983.34
  6. Step 6: Final answer
    x = 23,234.20

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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.