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Finding the Fourth Proportional to 31,394.79, 47,096.06 and 10,329.41

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Solution

The fourth proportional to 31,394.79, 47,096.06 and 10,329.41 is: 15,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.79 : 47,096.06 = 10,329.41 : x
  2. Step 2: Convert to fraction form
    31,394.79/47,096.06 = 10,329.41/x
  3. Step 3: Cross multiply
    31,394.79x = 47,096.06 × 10,329.41
  4. Step 4: Simplify right side
    31,394.79x = 486,474,579.22
  5. Step 5: Solve for x
    x = 486,474,579.22/31,394.79
  6. Step 6: Final answer
    x = 15,495.39

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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.