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Finding the Fourth Proportional to 50,924.50, 76,406.19 and 19,762.18

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Solution

The fourth proportional to 50,924.50, 76,406.19 and 19,762.18 is: 29,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,924.50 : 76,406.19 = 19,762.18 : x
  2. Step 2: Convert to fraction form
    50,924.50/76,406.19 = 19,762.18/x
  3. Step 3: Cross multiply
    50,924.50x = 76,406.19 × 19,762.18
  4. Step 4: Simplify right side
    50,924.50x = 1,509,952,879.89
  5. Step 5: Solve for x
    x = 1,509,952,879.89/50,924.50
  6. Step 6: Final answer
    x = 29,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.