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Finding the Fourth Proportional to 53,802.60, 80,652.70 and 41,949.80

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Solution

The fourth proportional to 53,802.60, 80,652.70 and 41,949.80 is: 62,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.60 : 80,652.70 = 41,949.80 : x
  2. Step 2: Convert to fraction form
    53,802.60/80,652.70 = 41,949.80/x
  3. Step 3: Cross multiply
    53,802.60x = 80,652.70 × 41,949.80
  4. Step 4: Simplify right side
    53,802.60x = 3,383,364,634.46
  5. Step 5: Solve for x
    x = 3,383,364,634.46/53,802.60
  6. Step 6: Final answer
    x = 62,884.78

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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.