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Finding the Fourth Proportional to 43,208.88, 64,709.64 and 24,702

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Solution

The fourth proportional to 43,208.88, 64,709.64 and 24,702 is: 36,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,208.88 : 64,709.64 = 24,702 : x
  2. Step 2: Convert to fraction form
    43,208.88/64,709.64 = 24,702/x
  3. Step 3: Cross multiply
    43,208.88x = 64,709.64 × 24,702
  4. Step 4: Simplify right side
    43,208.88x = 1,598,457,527.28
  5. Step 5: Solve for x
    x = 1,598,457,527.28/43,208.88
  6. Step 6: Final answer
    x = 36,993.73

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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.