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Finding the Fourth Proportional to 41,342.80, 57,057 and 23,438.64

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Solution

The fourth proportional to 41,342.80, 57,057 and 23,438.64 is: 32,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,342.80 : 57,057 = 23,438.64 : x
  2. Step 2: Convert to fraction form
    41,342.80/57,057 = 23,438.64/x
  3. Step 3: Cross multiply
    41,342.80x = 57,057 × 23,438.64
  4. Step 4: Simplify right side
    41,342.80x = 1,337,338,482.48
  5. Step 5: Solve for x
    x = 1,337,338,482.48/41,342.80
  6. Step 6: Final answer
    x = 32,347.55

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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.