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Finding the Fourth Proportional to 65,186.40, 97,779.60 and 25,723.20

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Solution

The fourth proportional to 65,186.40, 97,779.60 and 25,723.20 is: 38,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.40 : 97,779.60 = 25,723.20 : x
  2. Step 2: Convert to fraction form
    65,186.40/97,779.60 = 25,723.20/x
  3. Step 3: Cross multiply
    65,186.40x = 97,779.60 × 25,723.20
  4. Step 4: Simplify right side
    65,186.40x = 2,515,204,206.72
  5. Step 5: Solve for x
    x = 2,515,204,206.72/65,186.40
  6. Step 6: Final answer
    x = 38,584.80

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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.