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Finding the Fourth Proportional to 54,827.20, 82,111.20 and 37,201.60

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Solution

The fourth proportional to 54,827.20, 82,111.20 and 37,201.60 is: 55,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827.20 : 82,111.20 = 37,201.60 : x
  2. Step 2: Convert to fraction form
    54,827.20/82,111.20 = 37,201.60/x
  3. Step 3: Cross multiply
    54,827.20x = 82,111.20 × 37,201.60
  4. Step 4: Simplify right side
    54,827.20x = 3,054,668,017.92
  5. Step 5: Solve for x
    x = 3,054,668,017.92/54,827.20
  6. Step 6: Final answer
    x = 55,714.46

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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.