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Finding the Fourth Proportional to 57,786.76, 86,631.50 and 28,189.32

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Solution

The fourth proportional to 57,786.76, 86,631.50 and 28,189.32 is: 42,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.76 : 86,631.50 = 28,189.32 : x
  2. Step 2: Convert to fraction form
    57,786.76/86,631.50 = 28,189.32/x
  3. Step 3: Cross multiply
    57,786.76x = 86,631.50 × 28,189.32
  4. Step 4: Simplify right side
    57,786.76x = 2,442,083,075.58
  5. Step 5: Solve for x
    x = 2,442,083,075.58/57,786.76
  6. Step 6: Final answer
    x = 42,260.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.