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Finding the Fourth Proportional to 31,586.56, 47,371.68 and 9,394.16

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Solution

The fourth proportional to 31,586.56, 47,371.68 and 9,394.16 is: 14,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.56 : 47,371.68 = 9,394.16 : x
  2. Step 2: Convert to fraction form
    31,586.56/47,371.68 = 9,394.16/x
  3. Step 3: Cross multiply
    31,586.56x = 47,371.68 × 9,394.16
  4. Step 4: Simplify right side
    31,586.56x = 445,017,141.39
  5. Step 5: Solve for x
    x = 445,017,141.39/31,586.56
  6. Step 6: Final answer
    x = 14,088.81

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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.