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Finding the Fourth Proportional to 76,464.40, 114,696.60 and 23,879.20

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Solution

The fourth proportional to 76,464.40, 114,696.60 and 23,879.20 is: 35,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.40 : 114,696.60 = 23,879.20 : x
  2. Step 2: Convert to fraction form
    76,464.40/114,696.60 = 23,879.20/x
  3. Step 3: Cross multiply
    76,464.40x = 114,696.60 × 23,879.20
  4. Step 4: Simplify right side
    76,464.40x = 2,738,863,050.72
  5. Step 5: Solve for x
    x = 2,738,863,050.72/76,464.40
  6. Step 6: Final answer
    x = 35,818.80

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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.