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Finding the Fourth Proportional to 65,049.20, 97,514.64 and 23,486.48

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Solution

The fourth proportional to 65,049.20, 97,514.64 and 23,486.48 is: 35,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.20 : 97,514.64 = 23,486.48 : x
  2. Step 2: Convert to fraction form
    65,049.20/97,514.64 = 23,486.48/x
  3. Step 3: Cross multiply
    65,049.20x = 97,514.64 × 23,486.48
  4. Step 4: Simplify right side
    65,049.20x = 2,290,275,642.07
  5. Step 5: Solve for x
    x = 2,290,275,642.07/65,049.20
  6. Step 6: Final answer
    x = 35,208.36

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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.