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Finding the Fourth Proportional to 41,438.34, 57,185.01 and 22,575.60

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Solution

The fourth proportional to 41,438.34, 57,185.01 and 22,575.60 is: 31,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,438.34 : 57,185.01 = 22,575.60 : x
  2. Step 2: Convert to fraction form
    41,438.34/57,185.01 = 22,575.60/x
  3. Step 3: Cross multiply
    41,438.34x = 57,185.01 × 22,575.60
  4. Step 4: Simplify right side
    41,438.34x = 1,290,985,911.76
  5. Step 5: Solve for x
    x = 1,290,985,911.76/41,438.34
  6. Step 6: Final answer
    x = 31,154.38

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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.