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Finding the Fourth Proportional to 31,599.24, 47,361 and 14,709.36

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Solution

The fourth proportional to 31,599.24, 47,361 and 14,709.36 is: 22,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.24 : 47,361 = 14,709.36 : x
  2. Step 2: Convert to fraction form
    31,599.24/47,361 = 14,709.36/x
  3. Step 3: Cross multiply
    31,599.24x = 47,361 × 14,709.36
  4. Step 4: Simplify right side
    31,599.24x = 696,649,998.96
  5. Step 5: Solve for x
    x = 696,649,998.96/31,599.24
  6. Step 6: Final answer
    x = 22,046.42

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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.