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Finding the Fourth Proportional to 76,888.37, 115,331.83 and 24,297.84

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Solution

The fourth proportional to 76,888.37, 115,331.83 and 24,297.84 is: 36,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888.37 : 115,331.83 = 24,297.84 : x
  2. Step 2: Convert to fraction form
    76,888.37/115,331.83 = 24,297.84/x
  3. Step 3: Cross multiply
    76,888.37x = 115,331.83 × 24,297.84
  4. Step 4: Simplify right side
    76,888.37x = 2,802,314,291.50
  5. Step 5: Solve for x
    x = 2,802,314,291.50/76,888.37
  6. Step 6: Final answer
    x = 36,446.53

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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.