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Finding the Fourth Proportional to 54,007.80, 81,011.70 and 51,820.80

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Solution

The fourth proportional to 54,007.80, 81,011.70 and 51,820.80 is: 77,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,007.80 : 81,011.70 = 51,820.80 : x
  2. Step 2: Convert to fraction form
    54,007.80/81,011.70 = 51,820.80/x
  3. Step 3: Cross multiply
    54,007.80x = 81,011.70 × 51,820.80
  4. Step 4: Simplify right side
    54,007.80x = 4,198,091,103.36
  5. Step 5: Solve for x
    x = 4,198,091,103.36/54,007.80
  6. Step 6: Final answer
    x = 77,731.20

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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.