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Finding the Fourth Proportional to 76,893.12, 106,112.52 and 43,359.12

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Solution

The fourth proportional to 76,893.12, 106,112.52 and 43,359.12 is: 59,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893.12 : 106,112.52 = 43,359.12 : x
  2. Step 2: Convert to fraction form
    76,893.12/106,112.52 = 43,359.12/x
  3. Step 3: Cross multiply
    76,893.12x = 106,112.52 × 43,359.12
  4. Step 4: Simplify right side
    76,893.12x = 4,600,945,488.18
  5. Step 5: Solve for x
    x = 4,600,945,488.18/76,893.12
  6. Step 6: Final answer
    x = 59,835.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.