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Finding the Fourth Proportional to 53,906.60, 80,859.90 and 31,730.60

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Solution

The fourth proportional to 53,906.60, 80,859.90 and 31,730.60 is: 47,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.60 : 80,859.90 = 31,730.60 : x
  2. Step 2: Convert to fraction form
    53,906.60/80,859.90 = 31,730.60/x
  3. Step 3: Cross multiply
    53,906.60x = 80,859.90 × 31,730.60
  4. Step 4: Simplify right side
    53,906.60x = 2,565,733,142.94
  5. Step 5: Solve for x
    x = 2,565,733,142.94/53,906.60
  6. Step 6: Final answer
    x = 47,595.90

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1.5x scale

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.