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Finding the Fourth Proportional to 47,882.16, 71,820.50 and 18,302.98

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Solution

The fourth proportional to 47,882.16, 71,820.50 and 18,302.98 is: 27,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.16 : 71,820.50 = 18,302.98 : x
  2. Step 2: Convert to fraction form
    47,882.16/71,820.50 = 18,302.98/x
  3. Step 3: Cross multiply
    47,882.16x = 71,820.50 × 18,302.98
  4. Step 4: Simplify right side
    47,882.16x = 1,314,529,175.09
  5. Step 5: Solve for x
    x = 1,314,529,175.09/47,882.16
  6. Step 6: Final answer
    x = 27,453.42

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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.