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Finding the Fourth Proportional to 50,744, 76,116.27 and 13,808

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Solution

The fourth proportional to 50,744, 76,116.27 and 13,808 is: 20,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744 : 76,116.27 = 13,808 : x
  2. Step 2: Convert to fraction form
    50,744/76,116.27 = 13,808/x
  3. Step 3: Cross multiply
    50,744x = 76,116.27 × 13,808
  4. Step 4: Simplify right side
    50,744x = 1,051,013,456.16
  5. Step 5: Solve for x
    x = 1,051,013,456.16/50,744
  6. Step 6: Final answer
    x = 20,712.07

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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.