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Finding the Fourth Proportional to 65,233.53, 97,851.22 and 18,486.41

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Solution

The fourth proportional to 65,233.53, 97,851.22 and 18,486.41 is: 27,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.53 : 97,851.22 = 18,486.41 : x
  2. Step 2: Convert to fraction form
    65,233.53/97,851.22 = 18,486.41/x
  3. Step 3: Cross multiply
    65,233.53x = 97,851.22 × 18,486.41
  4. Step 4: Simplify right side
    65,233.53x = 1,808,917,236.45
  5. Step 5: Solve for x
    x = 1,808,917,236.45/65,233.53
  6. Step 6: Final answer
    x = 27,729.87

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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.