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Finding the Fourth Proportional to 37,287.50, 51,457.84 and 20,520.50

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Solution

The fourth proportional to 37,287.50, 51,457.84 and 20,520.50 is: 28,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287.50 : 51,457.84 = 20,520.50 : x
  2. Step 2: Convert to fraction form
    37,287.50/51,457.84 = 20,520.50/x
  3. Step 3: Cross multiply
    37,287.50x = 51,457.84 × 20,520.50
  4. Step 4: Simplify right side
    37,287.50x = 1,055,940,605.72
  5. Step 5: Solve for x
    x = 1,055,940,605.72/37,287.50
  6. Step 6: Final answer
    x = 28,318.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.