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Finding the Fourth Proportional to 76,664.26, 114,940.26 and 36,123.96

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Solution

The fourth proportional to 76,664.26, 114,940.26 and 36,123.96 is: 54,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,664.26 : 114,940.26 = 36,123.96 : x
  2. Step 2: Convert to fraction form
    76,664.26/114,940.26 = 36,123.96/x
  3. Step 3: Cross multiply
    76,664.26x = 114,940.26 × 36,123.96
  4. Step 4: Simplify right side
    76,664.26x = 4,152,097,785.66
  5. Step 5: Solve for x
    x = 4,152,097,785.66/76,664.26
  6. Step 6: Final answer
    x = 54,159.50

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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.