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Finding the Fourth Proportional to 77,664.94, 116,310.56 and 44,283.80

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Solution

The fourth proportional to 77,664.94, 116,310.56 and 44,283.80 is: 66,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664.94 : 116,310.56 = 44,283.80 : x
  2. Step 2: Convert to fraction form
    77,664.94/116,310.56 = 44,283.80/x
  3. Step 3: Cross multiply
    77,664.94x = 116,310.56 × 44,283.80
  4. Step 4: Simplify right side
    77,664.94x = 5,150,673,576.93
  5. Step 5: Solve for x
    x = 5,150,673,576.93/77,664.94
  6. Step 6: Final answer
    x = 66,319.16

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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.