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Finding the Fourth Proportional to 55,496.40, 83,244.60 and 27,429.90

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Solution

The fourth proportional to 55,496.40, 83,244.60 and 27,429.90 is: 41,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496.40 : 83,244.60 = 27,429.90 : x
  2. Step 2: Convert to fraction form
    55,496.40/83,244.60 = 27,429.90/x
  3. Step 3: Cross multiply
    55,496.40x = 83,244.60 × 27,429.90
  4. Step 4: Simplify right side
    55,496.40x = 2,283,391,053.54
  5. Step 5: Solve for x
    x = 2,283,391,053.54/55,496.40
  6. Step 6: Final answer
    x = 41,144.85

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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.