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Finding the Fourth Proportional to 83,873.25, 115,745.09 and 46,147.50

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Solution

The fourth proportional to 83,873.25, 115,745.09 and 46,147.50 is: 63,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.25 : 115,745.09 = 46,147.50 : x
  2. Step 2: Convert to fraction form
    83,873.25/115,745.09 = 46,147.50/x
  3. Step 3: Cross multiply
    83,873.25x = 115,745.09 × 46,147.50
  4. Step 4: Simplify right side
    83,873.25x = 5,341,346,310.04
  5. Step 5: Solve for x
    x = 5,341,346,310.04/83,873.25
  6. Step 6: Final answer
    x = 63,683.55

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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.