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Finding the Fourth Proportional to 76,918.38, 106,134.60 and 51,383.82

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Solution

The fourth proportional to 76,918.38, 106,134.60 and 51,383.82 is: 70,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,918.38 : 106,134.60 = 51,383.82 : x
  2. Step 2: Convert to fraction form
    76,918.38/106,134.60 = 51,383.82/x
  3. Step 3: Cross multiply
    76,918.38x = 106,134.60 × 51,383.82
  4. Step 4: Simplify right side
    76,918.38x = 5,453,601,182.17
  5. Step 5: Solve for x
    x = 5,453,601,182.17/76,918.38
  6. Step 6: Final answer
    x = 70,901.14

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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.