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Finding the Fourth Proportional to 52,112.45, 71,914.88 and 28,239.12

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Solution

The fourth proportional to 52,112.45, 71,914.88 and 28,239.12 is: 38,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.45 : 71,914.88 = 28,239.12 : x
  2. Step 2: Convert to fraction form
    52,112.45/71,914.88 = 28,239.12/x
  3. Step 3: Cross multiply
    52,112.45x = 71,914.88 × 28,239.12
  4. Step 4: Simplify right side
    52,112.45x = 2,030,812,784.91
  5. Step 5: Solve for x
    x = 2,030,812,784.91/52,112.45
  6. Step 6: Final answer
    x = 38,969.82

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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.