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Finding the Fourth Proportional to 54,327.80, 81,491.70 and 30,708.20

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Solution

The fourth proportional to 54,327.80, 81,491.70 and 30,708.20 is: 46,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,327.80 : 81,491.70 = 30,708.20 : x
  2. Step 2: Convert to fraction form
    54,327.80/81,491.70 = 30,708.20/x
  3. Step 3: Cross multiply
    54,327.80x = 81,491.70 × 30,708.20
  4. Step 4: Simplify right side
    54,327.80x = 2,502,463,421.94
  5. Step 5: Solve for x
    x = 2,502,463,421.94/54,327.80
  6. Step 6: Final answer
    x = 46,062.30

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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.