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Finding the Fourth Proportional to 55,475.10, 83,224.80 and 18,028.80

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Solution

The fourth proportional to 55,475.10, 83,224.80 and 18,028.80 is: 27,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,475.10 : 83,224.80 = 18,028.80 : x
  2. Step 2: Convert to fraction form
    55,475.10/83,224.80 = 18,028.80/x
  3. Step 3: Cross multiply
    55,475.10x = 83,224.80 × 18,028.80
  4. Step 4: Simplify right side
    55,475.10x = 1,500,443,274.24
  5. Step 5: Solve for x
    x = 1,500,443,274.24/55,475.10
  6. Step 6: Final answer
    x = 27,047.15

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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.