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Finding the Fourth Proportional to 49,809.66, 68,762.42 and 32,838.54

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Solution

The fourth proportional to 49,809.66, 68,762.42 and 32,838.54 is: 45,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809.66 : 68,762.42 = 32,838.54 : x
  2. Step 2: Convert to fraction form
    49,809.66/68,762.42 = 32,838.54/x
  3. Step 3: Cross multiply
    49,809.66x = 68,762.42 × 32,838.54
  4. Step 4: Simplify right side
    49,809.66x = 2,258,057,479.67
  5. Step 5: Solve for x
    x = 2,258,057,479.67/49,809.66
  6. Step 6: Final answer
    x = 45,333.73

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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.