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Finding the Fourth Proportional to 54,901.80, 82,158.30 and 37,405.80

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Solution

The fourth proportional to 54,901.80, 82,158.30 and 37,405.80 is: 55,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.80 : 82,158.30 = 37,405.80 : x
  2. Step 2: Convert to fraction form
    54,901.80/82,158.30 = 37,405.80/x
  3. Step 3: Cross multiply
    54,901.80x = 82,158.30 × 37,405.80
  4. Step 4: Simplify right side
    54,901.80x = 3,073,196,938.14
  5. Step 5: Solve for x
    x = 3,073,196,938.14/54,901.80
  6. Step 6: Final answer
    x = 55,976.25

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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.