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Finding the Fourth Proportional to 30,990.34, 42,765.46 and 16,842.88

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Solution

The fourth proportional to 30,990.34, 42,765.46 and 16,842.88 is: 23,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.34 : 42,765.46 = 16,842.88 : x
  2. Step 2: Convert to fraction form
    30,990.34/42,765.46 = 16,842.88/x
  3. Step 3: Cross multiply
    30,990.34x = 42,765.46 × 16,842.88
  4. Step 4: Simplify right side
    30,990.34x = 720,293,510.92
  5. Step 5: Solve for x
    x = 720,293,510.92/30,990.34
  6. Step 6: Final answer
    x = 23,242.52

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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.