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Finding the Fourth Proportional to 41,358, 57,074.31 and 22,495.26

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Solution

The fourth proportional to 41,358, 57,074.31 and 22,495.26 is: 31,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,358 : 57,074.31 = 22,495.26 : x
  2. Step 2: Convert to fraction form
    41,358/57,074.31 = 22,495.26/x
  3. Step 3: Cross multiply
    41,358x = 57,074.31 × 22,495.26
  4. Step 4: Simplify right side
    41,358x = 1,283,901,442.77
  5. Step 5: Solve for x
    x = 1,283,901,442.77/41,358
  6. Step 6: Final answer
    x = 31,043.61

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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.