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Finding the Fourth Proportional to 41,490, 57,256.20 and 22,627.26

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Solution

The fourth proportional to 41,490, 57,256.20 and 22,627.26 is: 31,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,490 : 57,256.20 = 22,627.26 : x
  2. Step 2: Convert to fraction form
    41,490/57,256.20 = 22,627.26/x
  3. Step 3: Cross multiply
    41,490x = 57,256.20 × 22,627.26
  4. Step 4: Simplify right side
    41,490x = 1,295,550,924.01
  5. Step 5: Solve for x
    x = 1,295,550,924.01/41,490
  6. Step 6: Final answer
    x = 31,225.62

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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.