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Finding the Fourth Proportional to 52,093.14, 71,888.31 and 28,219.86

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Solution

The fourth proportional to 52,093.14, 71,888.31 and 28,219.86 is: 38,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.14 : 71,888.31 = 28,219.86 : x
  2. Step 2: Convert to fraction form
    52,093.14/71,888.31 = 28,219.86/x
  3. Step 3: Cross multiply
    52,093.14x = 71,888.31 × 28,219.86
  4. Step 4: Simplify right side
    52,093.14x = 2,028,678,043.84
  5. Step 5: Solve for x
    x = 2,028,678,043.84/52,093.14
  6. Step 6: Final answer
    x = 38,943.29

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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.