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Finding the Fourth Proportional to 65,184.52, 97,823.41 and 27,770.80

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Solution

The fourth proportional to 65,184.52, 97,823.41 and 27,770.80 is: 41,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.52 : 97,823.41 = 27,770.80 : x
  2. Step 2: Convert to fraction form
    65,184.52/97,823.41 = 27,770.80/x
  3. Step 3: Cross multiply
    65,184.52x = 97,823.41 × 27,770.80
  4. Step 4: Simplify right side
    65,184.52x = 2,716,634,354.43
  5. Step 5: Solve for x
    x = 2,716,634,354.43/65,184.52
  6. Step 6: Final answer
    x = 41,676.07

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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.