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Finding the Fourth Proportional to 51,771.50, 71,443.06 and 29,111.45

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Solution

The fourth proportional to 51,771.50, 71,443.06 and 29,111.45 is: 40,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.50 : 71,443.06 = 29,111.45 : x
  2. Step 2: Convert to fraction form
    51,771.50/71,443.06 = 29,111.45/x
  3. Step 3: Cross multiply
    51,771.50x = 71,443.06 × 29,111.45
  4. Step 4: Simplify right side
    51,771.50x = 2,079,811,204.66
  5. Step 5: Solve for x
    x = 2,079,811,204.66/51,771.50
  6. Step 6: Final answer
    x = 40,172.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.