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Finding the Fourth Proportional to 83,919.60, 125,879.40 and 46,594.80

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Solution

The fourth proportional to 83,919.60, 125,879.40 and 46,594.80 is: 69,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,919.60 : 125,879.40 = 46,594.80 : x
  2. Step 2: Convert to fraction form
    83,919.60/125,879.40 = 46,594.80/x
  3. Step 3: Cross multiply
    83,919.60x = 125,879.40 × 46,594.80
  4. Step 4: Simplify right side
    83,919.60x = 5,865,325,467.12
  5. Step 5: Solve for x
    x = 5,865,325,467.12/83,919.60
  6. Step 6: Final answer
    x = 69,892.20

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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.