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Finding the Fourth Proportional to 57,804.10, 86,713.10 and 20,356.44

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Solution

The fourth proportional to 57,804.10, 86,713.10 and 20,356.44 is: 30,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,804.10 : 86,713.10 = 20,356.44 : x
  2. Step 2: Convert to fraction form
    57,804.10/86,713.10 = 20,356.44/x
  3. Step 3: Cross multiply
    57,804.10x = 86,713.10 × 20,356.44
  4. Step 4: Simplify right side
    57,804.10x = 1,765,169,583.80
  5. Step 5: Solve for x
    x = 1,765,169,583.80/57,804.10
  6. Step 6: Final answer
    x = 30,537.10

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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.