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Finding the Fourth Proportional to 50,207.43, 75,313.65 and 16,470.46

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Solution

The fourth proportional to 50,207.43, 75,313.65 and 16,470.46 is: 24,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207.43 : 75,313.65 = 16,470.46 : x
  2. Step 2: Convert to fraction form
    50,207.43/75,313.65 = 16,470.46/x
  3. Step 3: Cross multiply
    50,207.43x = 75,313.65 × 16,470.46
  4. Step 4: Simplify right side
    50,207.43x = 1,240,450,459.78
  5. Step 5: Solve for x
    x = 1,240,450,459.78/50,207.43
  6. Step 6: Final answer
    x = 24,706.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.