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Finding the Fourth Proportional to 31,586.88, 47,304.78 and 18,219.35

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Solution

The fourth proportional to 31,586.88, 47,304.78 and 18,219.35 is: 27,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.88 : 47,304.78 = 18,219.35 : x
  2. Step 2: Convert to fraction form
    31,586.88/47,304.78 = 18,219.35/x
  3. Step 3: Cross multiply
    31,586.88x = 47,304.78 × 18,219.35
  4. Step 4: Simplify right side
    31,586.88x = 861,862,495.92
  5. Step 5: Solve for x
    x = 861,862,495.92/31,586.88
  6. Step 6: Final answer
    x = 27,285.46

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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.