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Finding the Fourth Proportional to 51,006.40, 76,520.40 and 15,464.80

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Solution

The fourth proportional to 51,006.40, 76,520.40 and 15,464.80 is: 23,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.40 : 76,520.40 = 15,464.80 : x
  2. Step 2: Convert to fraction form
    51,006.40/76,520.40 = 15,464.80/x
  3. Step 3: Cross multiply
    51,006.40x = 76,520.40 × 15,464.80
  4. Step 4: Simplify right side
    51,006.40x = 1,183,372,681.92
  5. Step 5: Solve for x
    x = 1,183,372,681.92/51,006.40
  6. Step 6: Final answer
    x = 23,200.47

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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.