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Finding the Fourth Proportional to 47,713.50, 71,560.41 and 27,710.46

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Solution

The fourth proportional to 47,713.50, 71,560.41 and 27,710.46 is: 41,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.50 : 71,560.41 = 27,710.46 : x
  2. Step 2: Convert to fraction form
    47,713.50/71,560.41 = 27,710.46/x
  3. Step 3: Cross multiply
    47,713.50x = 71,560.41 × 27,710.46
  4. Step 4: Simplify right side
    47,713.50x = 1,982,971,878.89
  5. Step 5: Solve for x
    x = 1,982,971,878.89/47,713.50
  6. Step 6: Final answer
    x = 41,559.98

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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.