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Finding the Fourth Proportional to 53,986.70, 80,980.06 and 27,674.66

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Solution

The fourth proportional to 53,986.70, 80,980.06 and 27,674.66 is: 41,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,986.70 : 80,980.06 = 27,674.66 : x
  2. Step 2: Convert to fraction form
    53,986.70/80,980.06 = 27,674.66/x
  3. Step 3: Cross multiply
    53,986.70x = 80,980.06 × 27,674.66
  4. Step 4: Simplify right side
    53,986.70x = 2,241,095,627.28
  5. Step 5: Solve for x
    x = 2,241,095,627.28/53,986.70
  6. Step 6: Final answer
    x = 41,512.00

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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.