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Finding the Fourth Proportional to 31,353.36, 47,029.43 and 7,661.07

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Solution

The fourth proportional to 31,353.36, 47,029.43 and 7,661.07 is: 11,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.36 : 47,029.43 = 7,661.07 : x
  2. Step 2: Convert to fraction form
    31,353.36/47,029.43 = 7,661.07/x
  3. Step 3: Cross multiply
    31,353.36x = 47,029.43 × 7,661.07
  4. Step 4: Simplify right side
    31,353.36x = 360,295,716.98
  5. Step 5: Solve for x
    x = 360,295,716.98/31,353.36
  6. Step 6: Final answer
    x = 11,491.45

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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.