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Finding the Fourth Proportional to 76,505.60, 114,774.60 and 23,193.20

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Solution

The fourth proportional to 76,505.60, 114,774.60 and 23,193.20 is: 34,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.60 : 114,774.60 = 23,193.20 : x
  2. Step 2: Convert to fraction form
    76,505.60/114,774.60 = 23,193.20/x
  3. Step 3: Cross multiply
    76,505.60x = 114,774.60 × 23,193.20
  4. Step 4: Simplify right side
    76,505.60x = 2,661,990,252.72
  5. Step 5: Solve for x
    x = 2,661,990,252.72/76,505.60
  6. Step 6: Final answer
    x = 34,794.71

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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.