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Finding the Fourth Proportional to 54,801, 82,205.55 and 40,102.74

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Solution

The fourth proportional to 54,801, 82,205.55 and 40,102.74 is: 60,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801 : 82,205.55 = 40,102.74 : x
  2. Step 2: Convert to fraction form
    54,801/82,205.55 = 40,102.74/x
  3. Step 3: Cross multiply
    54,801x = 82,205.55 × 40,102.74
  4. Step 4: Simplify right side
    54,801x = 3,296,667,798.21
  5. Step 5: Solve for x
    x = 3,296,667,798.21/54,801
  6. Step 6: Final answer
    x = 60,157.07

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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.