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Finding the Fourth Proportional to 43,824.84, 65,793.75 and 37,624.71

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Solution

The fourth proportional to 43,824.84, 65,793.75 and 37,624.71 is: 56,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824.84 : 65,793.75 = 37,624.71 : x
  2. Step 2: Convert to fraction form
    43,824.84/65,793.75 = 37,624.71/x
  3. Step 3: Cross multiply
    43,824.84x = 65,793.75 × 37,624.71
  4. Step 4: Simplify right side
    43,824.84x = 2,475,470,763.56
  5. Step 5: Solve for x
    x = 2,475,470,763.56/43,824.84
  6. Step 6: Final answer
    x = 56,485.56

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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.