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Finding the Fourth Proportional to 50,457.20, 75,685.80 and 20,842.50

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Solution

The fourth proportional to 50,457.20, 75,685.80 and 20,842.50 is: 31,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,457.20 : 75,685.80 = 20,842.50 : x
  2. Step 2: Convert to fraction form
    50,457.20/75,685.80 = 20,842.50/x
  3. Step 3: Cross multiply
    50,457.20x = 75,685.80 × 20,842.50
  4. Step 4: Simplify right side
    50,457.20x = 1,577,481,286.50
  5. Step 5: Solve for x
    x = 1,577,481,286.50/50,457.20
  6. Step 6: Final answer
    x = 31,263.75

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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.