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Finding the Fourth Proportional to 30,770.28, 42,463.04 and 17,852.06

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Solution

The fourth proportional to 30,770.28, 42,463.04 and 17,852.06 is: 24,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.28 : 42,463.04 = 17,852.06 : x
  2. Step 2: Convert to fraction form
    30,770.28/42,463.04 = 17,852.06/x
  3. Step 3: Cross multiply
    30,770.28x = 42,463.04 × 17,852.06
  4. Step 4: Simplify right side
    30,770.28x = 758,052,737.86
  5. Step 5: Solve for x
    x = 758,052,737.86/30,770.28
  6. Step 6: Final answer
    x = 24,635.88

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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.