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Finding the Fourth Proportional to 31,361.41, 47,041.89 and 7,669.05

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Solution

The fourth proportional to 31,361.41, 47,041.89 and 7,669.05 is: 11,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.41 : 47,041.89 = 7,669.05 : x
  2. Step 2: Convert to fraction form
    31,361.41/47,041.89 = 7,669.05/x
  3. Step 3: Cross multiply
    31,361.41x = 47,041.89 × 7,669.05
  4. Step 4: Simplify right side
    31,361.41x = 360,766,606.50
  5. Step 5: Solve for x
    x = 360,766,606.50/31,361.41
  6. Step 6: Final answer
    x = 11,503.52

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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.