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Finding the Fourth Proportional to 77,236.38, 106,596.25 and 43,257.80

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Solution

The fourth proportional to 77,236.38, 106,596.25 and 43,257.80 is: 59,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,236.38 : 106,596.25 = 43,257.80 : x
  2. Step 2: Convert to fraction form
    77,236.38/106,596.25 = 43,257.80/x
  3. Step 3: Cross multiply
    77,236.38x = 106,596.25 × 43,257.80
  4. Step 4: Simplify right side
    77,236.38x = 4,611,119,421.60
  5. Step 5: Solve for x
    x = 4,611,119,421.60/77,236.38
  6. Step 6: Final answer
    x = 59,701.39

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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.