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Finding the Fourth Proportional to 53,827.70, 80,705.10 and 27,510.80

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Solution

The fourth proportional to 53,827.70, 80,705.10 and 27,510.80 is: 41,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827.70 : 80,705.10 = 27,510.80 : x
  2. Step 2: Convert to fraction form
    53,827.70/80,705.10 = 27,510.80/x
  3. Step 3: Cross multiply
    53,827.70x = 80,705.10 × 27,510.80
  4. Step 4: Simplify right side
    53,827.70x = 2,220,261,865.08
  5. Step 5: Solve for x
    x = 2,220,261,865.08/53,827.70
  6. Step 6: Final answer
    x = 41,247.57

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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.