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Finding the Fourth Proportional to 75,114.50, 103,629.39 and 49,632.98

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Solution

The fourth proportional to 75,114.50, 103,629.39 and 49,632.98 is: 68,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.50 : 103,629.39 = 49,632.98 : x
  2. Step 2: Convert to fraction form
    75,114.50/103,629.39 = 49,632.98/x
  3. Step 3: Cross multiply
    75,114.50x = 103,629.39 × 49,632.98
  4. Step 4: Simplify right side
    75,114.50x = 5,143,435,441.28
  5. Step 5: Solve for x
    x = 5,143,435,441.28/75,114.50
  6. Step 6: Final answer
    x = 68,474.60

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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.