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Finding the Fourth Proportional to 41,676.80, 57,518.56 and 26,570

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Solution

The fourth proportional to 41,676.80, 57,518.56 and 26,570 is: 36,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,676.80 : 57,518.56 = 26,570 : x
  2. Step 2: Convert to fraction form
    41,676.80/57,518.56 = 26,570/x
  3. Step 3: Cross multiply
    41,676.80x = 57,518.56 × 26,570
  4. Step 4: Simplify right side
    41,676.80x = 1,528,268,139.20
  5. Step 5: Solve for x
    x = 1,528,268,139.20/41,676.80
  6. Step 6: Final answer
    x = 36,669.52

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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.