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Finding the Fourth Proportional to 34,004.70, 50,971.46 and 12,931.57

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Solution

The fourth proportional to 34,004.70, 50,971.46 and 12,931.57 is: 19,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004.70 : 50,971.46 = 12,931.57 : x
  2. Step 2: Convert to fraction form
    34,004.70/50,971.46 = 12,931.57/x
  3. Step 3: Cross multiply
    34,004.70x = 50,971.46 × 12,931.57
  4. Step 4: Simplify right side
    34,004.70x = 659,141,002.99
  5. Step 5: Solve for x
    x = 659,141,002.99/34,004.70
  6. Step 6: Final answer
    x = 19,383.82

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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.