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Finding the Fourth Proportional to 50,902, 76,354.44 and 13,966

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Solution

The fourth proportional to 50,902, 76,354.44 and 13,966 is: 20,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902 : 76,354.44 = 13,966 : x
  2. Step 2: Convert to fraction form
    50,902/76,354.44 = 13,966/x
  3. Step 3: Cross multiply
    50,902x = 76,354.44 × 13,966
  4. Step 4: Simplify right side
    50,902x = 1,066,366,109.04
  5. Step 5: Solve for x
    x = 1,066,366,109.04/50,902
  6. Step 6: Final answer
    x = 20,949.40

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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.