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Finding the Fourth Proportional to 81,765.10, 112,797.94 and 47,775.02

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Solution

The fourth proportional to 81,765.10, 112,797.94 and 47,775.02 is: 65,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765.10 : 112,797.94 = 47,775.02 : x
  2. Step 2: Convert to fraction form
    81,765.10/112,797.94 = 47,775.02/x
  3. Step 3: Cross multiply
    81,765.10x = 112,797.94 × 47,775.02
  4. Step 4: Simplify right side
    81,765.10x = 5,388,923,379.98
  5. Step 5: Solve for x
    x = 5,388,923,379.98/81,765.10
  6. Step 6: Final answer
    x = 65,907.38

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Why These Related Problems?

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