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Finding the Fourth Proportional to 31,016.79, 46,525.26 and 7,643.22

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Solution

The fourth proportional to 31,016.79, 46,525.26 and 7,643.22 is: 11,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.79 : 46,525.26 = 7,643.22 : x
  2. Step 2: Convert to fraction form
    31,016.79/46,525.26 = 7,643.22/x
  3. Step 3: Cross multiply
    31,016.79x = 46,525.26 × 7,643.22
  4. Step 4: Simplify right side
    31,016.79x = 355,602,797.74
  5. Step 5: Solve for x
    x = 355,602,797.74/31,016.79
  6. Step 6: Final answer
    x = 11,464.85

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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.