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Finding the Fourth Proportional to 51,502.56, 77,260.32 and 18,214.80

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Solution

The fourth proportional to 51,502.56, 77,260.32 and 18,214.80 is: 27,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502.56 : 77,260.32 = 18,214.80 : x
  2. Step 2: Convert to fraction form
    51,502.56/77,260.32 = 18,214.80/x
  3. Step 3: Cross multiply
    51,502.56x = 77,260.32 × 18,214.80
  4. Step 4: Simplify right side
    51,502.56x = 1,407,281,276.74
  5. Step 5: Solve for x
    x = 1,407,281,276.74/51,502.56
  6. Step 6: Final answer
    x = 27,324.49

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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.