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Finding the Fourth Proportional to 82,311.38, 113,594.56 and 46,500.47

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Solution

The fourth proportional to 82,311.38, 113,594.56 and 46,500.47 is: 64,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.38 : 113,594.56 = 46,500.47 : x
  2. Step 2: Convert to fraction form
    82,311.38/113,594.56 = 46,500.47/x
  3. Step 3: Cross multiply
    82,311.38x = 113,594.56 × 46,500.47
  4. Step 4: Simplify right side
    82,311.38x = 5,282,199,745.22
  5. Step 5: Solve for x
    x = 5,282,199,745.22/82,311.38
  6. Step 6: Final answer
    x = 64,173.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.