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Finding the Fourth Proportional to 31,643.65, 47,467.91 and 9,455.32

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Solution

The fourth proportional to 31,643.65, 47,467.91 and 9,455.32 is: 14,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.65 : 47,467.91 = 9,455.32 : x
  2. Step 2: Convert to fraction form
    31,643.65/47,467.91 = 9,455.32/x
  3. Step 3: Cross multiply
    31,643.65x = 47,467.91 × 9,455.32
  4. Step 4: Simplify right side
    31,643.65x = 448,824,278.78
  5. Step 5: Solve for x
    x = 448,824,278.78/31,643.65
  6. Step 6: Final answer
    x = 14,183.71

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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.