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Finding the Fourth Proportional to 54,804.33, 82,201.17 and 37,148.46

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Solution

The fourth proportional to 54,804.33, 82,201.17 and 37,148.46 is: 55,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.33 : 82,201.17 = 37,148.46 : x
  2. Step 2: Convert to fraction form
    54,804.33/82,201.17 = 37,148.46/x
  3. Step 3: Cross multiply
    54,804.33x = 82,201.17 × 37,148.46
  4. Step 4: Simplify right side
    54,804.33x = 3,053,646,875.70
  5. Step 5: Solve for x
    x = 3,053,646,875.70/54,804.33
  6. Step 6: Final answer
    x = 55,719.08

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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.