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Finding the Fourth Proportional to 31,059.30, 46,596.22 and 8,872.98

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Solution

The fourth proportional to 31,059.30, 46,596.22 and 8,872.98 is: 13,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.30 : 46,596.22 = 8,872.98 : x
  2. Step 2: Convert to fraction form
    31,059.30/46,596.22 = 8,872.98/x
  3. Step 3: Cross multiply
    31,059.30x = 46,596.22 × 8,872.98
  4. Step 4: Simplify right side
    31,059.30x = 413,447,328.14
  5. Step 5: Solve for x
    x = 413,447,328.14/31,059.30
  6. Step 6: Final answer
    x = 13,311.55

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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.