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Finding the Fourth Proportional to 55,288.40, 82,916.40 and 19,745.60

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Solution

The fourth proportional to 55,288.40, 82,916.40 and 19,745.60 is: 29,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,288.40 : 82,916.40 = 19,745.60 : x
  2. Step 2: Convert to fraction form
    55,288.40/82,916.40 = 19,745.60/x
  3. Step 3: Cross multiply
    55,288.40x = 82,916.40 × 19,745.60
  4. Step 4: Simplify right side
    55,288.40x = 1,637,234,067.84
  5. Step 5: Solve for x
    x = 1,637,234,067.84/55,288.40
  6. Step 6: Final answer
    x = 29,612.61

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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.