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Finding the Fourth Proportional to 51,776.44, 77,664.76 and 14,336.64

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Solution

The fourth proportional to 51,776.44, 77,664.76 and 14,336.64 is: 21,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,776.44 : 77,664.76 = 14,336.64 : x
  2. Step 2: Convert to fraction form
    51,776.44/77,664.76 = 14,336.64/x
  3. Step 3: Cross multiply
    51,776.44x = 77,664.76 × 14,336.64
  4. Step 4: Simplify right side
    51,776.44x = 1,113,451,704.81
  5. Step 5: Solve for x
    x = 1,113,451,704.81/51,776.44
  6. Step 6: Final answer
    x = 21,504.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.