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Finding the Fourth Proportional to 50,697.71, 76,051.01 and 13,257.64

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Solution

The fourth proportional to 50,697.71, 76,051.01 and 13,257.64 is: 19,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,697.71 : 76,051.01 = 13,257.64 : x
  2. Step 2: Convert to fraction form
    50,697.71/76,051.01 = 13,257.64/x
  3. Step 3: Cross multiply
    50,697.71x = 76,051.01 × 13,257.64
  4. Step 4: Simplify right side
    50,697.71x = 1,008,256,912.22
  5. Step 5: Solve for x
    x = 1,008,256,912.22/50,697.71
  6. Step 6: Final answer
    x = 19,887.62

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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.