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Finding the Fourth Proportional to 43,705.50, 65,462.25 and 36,123.24

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Solution

The fourth proportional to 43,705.50, 65,462.25 and 36,123.24 is: 54,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,705.50 : 65,462.25 = 36,123.24 : x
  2. Step 2: Convert to fraction form
    43,705.50/65,462.25 = 36,123.24/x
  3. Step 3: Cross multiply
    43,705.50x = 65,462.25 × 36,123.24
  4. Step 4: Simplify right side
    43,705.50x = 2,364,708,567.69
  5. Step 5: Solve for x
    x = 2,364,708,567.69/43,705.50
  6. Step 6: Final answer
    x = 54,105.51

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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.