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Finding the Fourth Proportional to 41,492.92, 57,260.10 and 22,630

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Solution

The fourth proportional to 41,492.92, 57,260.10 and 22,630 is: 31,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,492.92 : 57,260.10 = 22,630 : x
  2. Step 2: Convert to fraction form
    41,492.92/57,260.10 = 22,630/x
  3. Step 3: Cross multiply
    41,492.92x = 57,260.10 × 22,630
  4. Step 4: Simplify right side
    41,492.92x = 1,295,796,063
  5. Step 5: Solve for x
    x = 1,295,796,063/41,492.92
  6. Step 6: Final answer
    x = 31,229.33

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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.