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Finding the Fourth Proportional to 31,515.70, 47,283.58 and 9,329.20

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Solution

The fourth proportional to 31,515.70, 47,283.58 and 9,329.20 is: 13,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.70 : 47,283.58 = 9,329.20 : x
  2. Step 2: Convert to fraction form
    31,515.70/47,283.58 = 9,329.20/x
  3. Step 3: Cross multiply
    31,515.70x = 47,283.58 × 9,329.20
  4. Step 4: Simplify right side
    31,515.70x = 441,117,974.54
  5. Step 5: Solve for x
    x = 441,117,974.54/31,515.70
  6. Step 6: Final answer
    x = 13,996.77

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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.