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Finding the Fourth Proportional to 76,308.40, 114,462.60 and 23,723.20

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Solution

The fourth proportional to 76,308.40, 114,462.60 and 23,723.20 is: 35,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.40 : 114,462.60 = 23,723.20 : x
  2. Step 2: Convert to fraction form
    76,308.40/114,462.60 = 23,723.20/x
  3. Step 3: Cross multiply
    76,308.40x = 114,462.60 × 23,723.20
  4. Step 4: Simplify right side
    76,308.40x = 2,715,419,152.32
  5. Step 5: Solve for x
    x = 2,715,419,152.32/76,308.40
  6. Step 6: Final answer
    x = 35,584.80

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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.