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Finding the Fourth Proportional to 53,778.84, 80,261.49 and 52,379.16

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Solution

The fourth proportional to 53,778.84, 80,261.49 and 52,379.16 is: 78,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,778.84 : 80,261.49 = 52,379.16 : x
  2. Step 2: Convert to fraction form
    53,778.84/80,261.49 = 52,379.16/x
  3. Step 3: Cross multiply
    53,778.84x = 80,261.49 × 52,379.16
  4. Step 4: Simplify right side
    53,778.84x = 4,204,029,426.55
  5. Step 5: Solve for x
    x = 4,204,029,426.55/53,778.84
  6. Step 6: Final answer
    x = 78,172.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.