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Finding the Fourth Proportional to 43,755.84, 65,633.76 and 24,159

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Solution

The fourth proportional to 43,755.84, 65,633.76 and 24,159 is: 36,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,755.84 : 65,633.76 = 24,159 : x
  2. Step 2: Convert to fraction form
    43,755.84/65,633.76 = 24,159/x
  3. Step 3: Cross multiply
    43,755.84x = 65,633.76 × 24,159
  4. Step 4: Simplify right side
    43,755.84x = 1,585,646,007.84
  5. Step 5: Solve for x
    x = 1,585,646,007.84/43,755.84
  6. Step 6: Final answer
    x = 36,238.50

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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.