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Finding the Fourth Proportional to 65,779.66, 98,645 and 23,648.24

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Solution

The fourth proportional to 65,779.66, 98,645 and 23,648.24 is: 35,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,779.66 : 98,645 = 23,648.24 : x
  2. Step 2: Convert to fraction form
    65,779.66/98,645 = 23,648.24/x
  3. Step 3: Cross multiply
    65,779.66x = 98,645 × 23,648.24
  4. Step 4: Simplify right side
    65,779.66x = 2,332,780,634.80
  5. Step 5: Solve for x
    x = 2,332,780,634.80/65,779.66
  6. Step 6: Final answer
    x = 35,463.56

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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.