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Finding the Fourth Proportional to 55,324.80, 82,792.80 and 37,828.80

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Solution

The fourth proportional to 55,324.80, 82,792.80 and 37,828.80 is: 56,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,324.80 : 82,792.80 = 37,828.80 : x
  2. Step 2: Convert to fraction form
    55,324.80/82,792.80 = 37,828.80/x
  3. Step 3: Cross multiply
    55,324.80x = 82,792.80 × 37,828.80
  4. Step 4: Simplify right side
    55,324.80x = 3,131,952,272.64
  5. Step 5: Solve for x
    x = 3,131,952,272.64/55,324.80
  6. Step 6: Final answer
    x = 56,610.28

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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.