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Finding the Fourth Proportional to 41,458.72, 57,212.56 and 22,596

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Solution

The fourth proportional to 41,458.72, 57,212.56 and 22,596 is: 31,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458.72 : 57,212.56 = 22,596 : x
  2. Step 2: Convert to fraction form
    41,458.72/57,212.56 = 22,596/x
  3. Step 3: Cross multiply
    41,458.72x = 57,212.56 × 22,596
  4. Step 4: Simplify right side
    41,458.72x = 1,292,775,005.76
  5. Step 5: Solve for x
    x = 1,292,775,005.76/41,458.72
  6. Step 6: Final answer
    x = 31,182.22

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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.