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Finding the Fourth Proportional to 31,016.72, 46,525.11 and 7,643.16

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Solution

The fourth proportional to 31,016.72, 46,525.11 and 7,643.16 is: 11,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.72 : 46,525.11 = 7,643.16 : x
  2. Step 2: Convert to fraction form
    31,016.72/46,525.11 = 7,643.16/x
  3. Step 3: Cross multiply
    31,016.72x = 46,525.11 × 7,643.16
  4. Step 4: Simplify right side
    31,016.72x = 355,598,859.75
  5. Step 5: Solve for x
    x = 355,598,859.75/31,016.72
  6. Step 6: Final answer
    x = 11,464.75

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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.