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Finding the Fourth Proportional to 41,809.50, 57,696.84 and 22,946.76

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Solution

The fourth proportional to 41,809.50, 57,696.84 and 22,946.76 is: 31,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,809.50 : 57,696.84 = 22,946.76 : x
  2. Step 2: Convert to fraction form
    41,809.50/57,696.84 = 22,946.76/x
  3. Step 3: Cross multiply
    41,809.50x = 57,696.84 × 22,946.76
  4. Step 4: Simplify right side
    41,809.50x = 1,323,955,540.24
  5. Step 5: Solve for x
    x = 1,323,955,540.24/41,809.50
  6. Step 6: Final answer
    x = 31,666.38

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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.