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Finding the Fourth Proportional to 41,111.20, 57,614 and 41,111.20

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Solution

The fourth proportional to 41,111.20, 57,614 and 41,111.20 is: 57,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,111.20 : 57,614 = 41,111.20 : x
  2. Step 2: Convert to fraction form
    41,111.20/57,614 = 41,111.20/x
  3. Step 3: Cross multiply
    41,111.20x = 57,614 × 41,111.20
  4. Step 4: Simplify right side
    41,111.20x = 2,368,580,676.80
  5. Step 5: Solve for x
    x = 2,368,580,676.80/41,111.20
  6. Step 6: Final answer
    x = 57,614

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.