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Finding the Fourth Proportional to 57,798.06, 86,626.20 and 32,859

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Solution

The fourth proportional to 57,798.06, 86,626.20 and 32,859 is: 49,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.06 : 86,626.20 = 32,859 : x
  2. Step 2: Convert to fraction form
    57,798.06/86,626.20 = 32,859/x
  3. Step 3: Cross multiply
    57,798.06x = 86,626.20 × 32,859
  4. Step 4: Simplify right side
    57,798.06x = 2,846,450,305.80
  5. Step 5: Solve for x
    x = 2,846,450,305.80/57,798.06
  6. Step 6: Final answer
    x = 49,248.20

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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.