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Finding the Fourth Proportional to 76,893.06, 106,112.25 and 43,358.82

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Solution

The fourth proportional to 76,893.06, 106,112.25 and 43,358.82 is: 59,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893.06 : 106,112.25 = 43,358.82 : x
  2. Step 2: Convert to fraction form
    76,893.06/106,112.25 = 43,358.82/x
  3. Step 3: Cross multiply
    76,893.06x = 106,112.25 × 43,358.82
  4. Step 4: Simplify right side
    76,893.06x = 4,600,901,947.55
  5. Step 5: Solve for x
    x = 4,600,901,947.55/76,893.06
  6. Step 6: Final answer
    x = 59,835.07

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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.