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Finding the Fourth Proportional to 41,338, 57,052.68 and 25,214.68

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Solution

The fourth proportional to 41,338, 57,052.68 and 25,214.68 is: 34,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,338 : 57,052.68 = 25,214.68 : x
  2. Step 2: Convert to fraction form
    41,338/57,052.68 = 25,214.68/x
  3. Step 3: Cross multiply
    41,338x = 57,052.68 × 25,214.68
  4. Step 4: Simplify right side
    41,338x = 1,438,565,069.34
  5. Step 5: Solve for x
    x = 1,438,565,069.34/41,338
  6. Step 6: Final answer
    x = 34,800.06

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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.