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Finding the Fourth Proportional to 65,174.58, 97,766.31 and 20,804.67

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Solution

The fourth proportional to 65,174.58, 97,766.31 and 20,804.67 is: 31,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.58 : 97,766.31 = 20,804.67 : x
  2. Step 2: Convert to fraction form
    65,174.58/97,766.31 = 20,804.67/x
  3. Step 3: Cross multiply
    65,174.58x = 97,766.31 × 20,804.67
  4. Step 4: Simplify right side
    65,174.58x = 2,033,995,816.67
  5. Step 5: Solve for x
    x = 2,033,995,816.67/65,174.58
  6. Step 6: Final answer
    x = 31,208.42

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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.