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Finding the Fourth Proportional to 54,810.20, 82,215.30 and 35,783.30

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Solution

The fourth proportional to 54,810.20, 82,215.30 and 35,783.30 is: 53,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810.20 : 82,215.30 = 35,783.30 : x
  2. Step 2: Convert to fraction form
    54,810.20/82,215.30 = 35,783.30/x
  3. Step 3: Cross multiply
    54,810.20x = 82,215.30 × 35,783.30
  4. Step 4: Simplify right side
    54,810.20x = 2,941,934,744.49
  5. Step 5: Solve for x
    x = 2,941,934,744.49/54,810.20
  6. Step 6: Final answer
    x = 53,674.95

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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.