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Finding the Fourth Proportional to 52,087.14, 71,880.30 and 28,213.88

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Solution

The fourth proportional to 52,087.14, 71,880.30 and 28,213.88 is: 38,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087.14 : 71,880.30 = 28,213.88 : x
  2. Step 2: Convert to fraction form
    52,087.14/71,880.30 = 28,213.88/x
  3. Step 3: Cross multiply
    52,087.14x = 71,880.30 × 28,213.88
  4. Step 4: Simplify right side
    52,087.14x = 2,028,021,799.16
  5. Step 5: Solve for x
    x = 2,028,021,799.16/52,087.14
  6. Step 6: Final answer
    x = 38,935.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.