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Finding the Fourth Proportional to 65,682.99, 98,524.53 and 18,298.22

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Solution

The fourth proportional to 65,682.99, 98,524.53 and 18,298.22 is: 27,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.99 : 98,524.53 = 18,298.22 : x
  2. Step 2: Convert to fraction form
    65,682.99/98,524.53 = 18,298.22/x
  3. Step 3: Cross multiply
    65,682.99x = 98,524.53 × 18,298.22
  4. Step 4: Simplify right side
    65,682.99x = 1,802,823,032.71
  5. Step 5: Solve for x
    x = 1,802,823,032.71/65,682.99
  6. Step 6: Final answer
    x = 27,447.34

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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.