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Finding the Fourth Proportional to 41,421.38, 57,161.50 and 22,558.50

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Solution

The fourth proportional to 41,421.38, 57,161.50 and 22,558.50 is: 31,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,421.38 : 57,161.50 = 22,558.50 : x
  2. Step 2: Convert to fraction form
    41,421.38/57,161.50 = 22,558.50/x
  3. Step 3: Cross multiply
    41,421.38x = 57,161.50 × 22,558.50
  4. Step 4: Simplify right side
    41,421.38x = 1,289,477,641.35
  5. Step 5: Solve for x
    x = 1,289,477,641.35/41,421.38
  6. Step 6: Final answer
    x = 31,130.73

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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.