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Finding the Fourth Proportional to 55,355.90, 82,977.15 and 27,232.70

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Solution

The fourth proportional to 55,355.90, 82,977.15 and 27,232.70 is: 40,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,355.90 : 82,977.15 = 27,232.70 : x
  2. Step 2: Convert to fraction form
    55,355.90/82,977.15 = 27,232.70/x
  3. Step 3: Cross multiply
    55,355.90x = 82,977.15 × 27,232.70
  4. Step 4: Simplify right side
    55,355.90x = 2,259,691,832.81
  5. Step 5: Solve for x
    x = 2,259,691,832.81/55,355.90
  6. Step 6: Final answer
    x = 40,821.16

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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.