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Finding the Fourth Proportional to 30,527.25, 45,787.20 and 8,342.56

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Solution

The fourth proportional to 30,527.25, 45,787.20 and 8,342.56 is: 12,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.25 : 45,787.20 = 8,342.56 : x
  2. Step 2: Convert to fraction form
    30,527.25/45,787.20 = 8,342.56/x
  3. Step 3: Cross multiply
    30,527.25x = 45,787.20 × 8,342.56
  4. Step 4: Simplify right side
    30,527.25x = 381,982,463.23
  5. Step 5: Solve for x
    x = 381,982,463.23/30,527.25
  6. Step 6: Final answer
    x = 12,512.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.