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Finding the Fourth Proportional to 76,201.50, 105,133.77 and 49,364.58

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Solution

The fourth proportional to 76,201.50, 105,133.77 and 49,364.58 is: 68,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201.50 : 105,133.77 = 49,364.58 : x
  2. Step 2: Convert to fraction form
    76,201.50/105,133.77 = 49,364.58/x
  3. Step 3: Cross multiply
    76,201.50x = 105,133.77 × 49,364.58
  4. Step 4: Simplify right side
    76,201.50x = 5,189,884,399.87
  5. Step 5: Solve for x
    x = 5,189,884,399.87/76,201.50
  6. Step 6: Final answer
    x = 68,107.38

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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.