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Finding the Fourth Proportional to 82,010.90, 113,174.52 and 46,212.44

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Solution

The fourth proportional to 82,010.90, 113,174.52 and 46,212.44 is: 63,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010.90 : 113,174.52 = 46,212.44 : x
  2. Step 2: Convert to fraction form
    82,010.90/113,174.52 = 46,212.44/x
  3. Step 3: Cross multiply
    82,010.90x = 113,174.52 × 46,212.44
  4. Step 4: Simplify right side
    82,010.90x = 5,230,070,149.16
  5. Step 5: Solve for x
    x = 5,230,070,149.16/82,010.90
  6. Step 6: Final answer
    x = 63,772.87

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1.5x scale

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.