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Finding the Fourth Proportional to 76,860, 106,068.42 and 43,326

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Solution

The fourth proportional to 76,860, 106,068.42 and 43,326 is: 59,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,860 : 106,068.42 = 43,326 : x
  2. Step 2: Convert to fraction form
    76,860/106,068.42 = 43,326/x
  3. Step 3: Cross multiply
    76,860x = 106,068.42 × 43,326
  4. Step 4: Simplify right side
    76,860x = 4,595,520,364.92
  5. Step 5: Solve for x
    x = 4,595,520,364.92/76,860
  6. Step 6: Final answer
    x = 59,790.79

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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.