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Finding the Fourth Proportional to 31,911.45, 47,872.24 and 9,719.68

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Solution

The fourth proportional to 31,911.45, 47,872.24 and 9,719.68 is: 14,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.45 : 47,872.24 = 9,719.68 : x
  2. Step 2: Convert to fraction form
    31,911.45/47,872.24 = 9,719.68/x
  3. Step 3: Cross multiply
    31,911.45x = 47,872.24 × 9,719.68
  4. Step 4: Simplify right side
    31,911.45x = 465,302,853.68
  5. Step 5: Solve for x
    x = 465,302,853.68/31,911.45
  6. Step 6: Final answer
    x = 14,581.06

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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.