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Finding the Fourth Proportional to 51,475.20, 77,212.80 and 18,232.80

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Solution

The fourth proportional to 51,475.20, 77,212.80 and 18,232.80 is: 27,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475.20 : 77,212.80 = 18,232.80 : x
  2. Step 2: Convert to fraction form
    51,475.20/77,212.80 = 18,232.80/x
  3. Step 3: Cross multiply
    51,475.20x = 77,212.80 × 18,232.80
  4. Step 4: Simplify right side
    51,475.20x = 1,407,805,539.84
  5. Step 5: Solve for x
    x = 1,407,805,539.84/51,475.20
  6. Step 6: Final answer
    x = 27,349.20

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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.