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Finding the Fourth Proportional to 43,263.84, 64,896 and 18,297.60

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Solution

The fourth proportional to 43,263.84, 64,896 and 18,297.60 is: 27,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,263.84 : 64,896 = 18,297.60 : x
  2. Step 2: Convert to fraction form
    43,263.84/64,896 = 18,297.60/x
  3. Step 3: Cross multiply
    43,263.84x = 64,896 × 18,297.60
  4. Step 4: Simplify right side
    43,263.84x = 1,187,441,049.60
  5. Step 5: Solve for x
    x = 1,187,441,049.60/43,263.84
  6. Step 6: Final answer
    x = 27,446.50

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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.