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Finding the Fourth Proportional to 50,212, 75,318.18 and 13,276

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Solution

The fourth proportional to 50,212, 75,318.18 and 13,276 is: 19,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212 : 75,318.18 = 13,276 : x
  2. Step 2: Convert to fraction form
    50,212/75,318.18 = 13,276/x
  3. Step 3: Cross multiply
    50,212x = 75,318.18 × 13,276
  4. Step 4: Simplify right side
    50,212x = 999,924,157.68
  5. Step 5: Solve for x
    x = 999,924,157.68/50,212
  6. Step 6: Final answer
    x = 19,914.05

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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.