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Finding the Fourth Proportional to 54,809.80, 82,214.70 and 48,686.20

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Solution

The fourth proportional to 54,809.80, 82,214.70 and 48,686.20 is: 73,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.80 : 82,214.70 = 48,686.20 : x
  2. Step 2: Convert to fraction form
    54,809.80/82,214.70 = 48,686.20/x
  3. Step 3: Cross multiply
    54,809.80x = 82,214.70 × 48,686.20
  4. Step 4: Simplify right side
    54,809.80x = 4,002,721,327.14
  5. Step 5: Solve for x
    x = 4,002,721,327.14/54,809.80
  6. Step 6: Final answer
    x = 73,029.30

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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.