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Finding the Fourth Proportional to 55,302.80, 82,889.40 and 41,435.60

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Solution

The fourth proportional to 55,302.80, 82,889.40 and 41,435.60 is: 62,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.80 : 82,889.40 = 41,435.60 : x
  2. Step 2: Convert to fraction form
    55,302.80/82,889.40 = 41,435.60/x
  3. Step 3: Cross multiply
    55,302.80x = 82,889.40 × 41,435.60
  4. Step 4: Simplify right side
    55,302.80x = 3,434,572,022.64
  5. Step 5: Solve for x
    x = 3,434,572,022.64/55,302.80
  6. Step 6: Final answer
    x = 62,104.85

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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.