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Finding the Fourth Proportional to 55,201.60, 82,802.40 and 33,083.20

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Solution

The fourth proportional to 55,201.60, 82,802.40 and 33,083.20 is: 49,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.60 : 82,802.40 = 33,083.20 : x
  2. Step 2: Convert to fraction form
    55,201.60/82,802.40 = 33,083.20/x
  3. Step 3: Cross multiply
    55,201.60x = 82,802.40 × 33,083.20
  4. Step 4: Simplify right side
    55,201.60x = 2,739,368,359.68
  5. Step 5: Solve for x
    x = 2,739,368,359.68/55,201.60
  6. Step 6: Final answer
    x = 49,624.80

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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.