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Finding the Fourth Proportional to 76,550.60, 114,830.36 and 23,244.31

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Solution

The fourth proportional to 76,550.60, 114,830.36 and 23,244.31 is: 34,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550.60 : 114,830.36 = 23,244.31 : x
  2. Step 2: Convert to fraction form
    76,550.60/114,830.36 = 23,244.31/x
  3. Step 3: Cross multiply
    76,550.60x = 114,830.36 × 23,244.31
  4. Step 4: Simplify right side
    76,550.60x = 2,669,152,369.03
  5. Step 5: Solve for x
    x = 2,669,152,369.03/76,550.60
  6. Step 6: Final answer
    x = 34,867.82

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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.