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Finding the Fourth Proportional to 43,825.70, 65,738.55 and 43,364.90

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Solution

The fourth proportional to 43,825.70, 65,738.55 and 43,364.90 is: 65,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,825.70 : 65,738.55 = 43,364.90 : x
  2. Step 2: Convert to fraction form
    43,825.70/65,738.55 = 43,364.90/x
  3. Step 3: Cross multiply
    43,825.70x = 65,738.55 × 43,364.90
  4. Step 4: Simplify right side
    43,825.70x = 2,850,745,646.90
  5. Step 5: Solve for x
    x = 2,850,745,646.90/43,825.70
  6. Step 6: Final answer
    x = 65,047.35

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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.