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Finding the Fourth Proportional to 41,458.68, 57,213.54 and 22,595.76

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Solution

The fourth proportional to 41,458.68, 57,213.54 and 22,595.76 is: 31,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458.68 : 57,213.54 = 22,595.76 : x
  2. Step 2: Convert to fraction form
    41,458.68/57,213.54 = 22,595.76/x
  3. Step 3: Cross multiply
    41,458.68x = 57,213.54 × 22,595.76
  4. Step 4: Simplify right side
    41,458.68x = 1,292,783,418.59
  5. Step 5: Solve for x
    x = 1,292,783,418.59/41,458.68
  6. Step 6: Final answer
    x = 31,182.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.