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Finding the Fourth Proportional to 31,896.26, 47,851.30 and 9,709.05

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Solution

The fourth proportional to 31,896.26, 47,851.30 and 9,709.05 is: 14,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.26 : 47,851.30 = 9,709.05 : x
  2. Step 2: Convert to fraction form
    31,896.26/47,851.30 = 9,709.05/x
  3. Step 3: Cross multiply
    31,896.26x = 47,851.30 × 9,709.05
  4. Step 4: Simplify right side
    31,896.26x = 464,590,855.84
  5. Step 5: Solve for x
    x = 464,590,855.84/31,896.26
  6. Step 6: Final answer
    x = 14,565.69

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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.