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Finding the Fourth Proportional to 51,855.97, 77,800.10 and 18,576.32

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Solution

The fourth proportional to 51,855.97, 77,800.10 and 18,576.32 is: 27,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.97 : 77,800.10 = 18,576.32 : x
  2. Step 2: Convert to fraction form
    51,855.97/77,800.10 = 18,576.32/x
  3. Step 3: Cross multiply
    51,855.97x = 77,800.10 × 18,576.32
  4. Step 4: Simplify right side
    51,855.97x = 1,445,239,553.63
  5. Step 5: Solve for x
    x = 1,445,239,553.63/51,855.97
  6. Step 6: Final answer
    x = 27,870.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.