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Finding the Fourth Proportional to 51,586.13, 71,201.52 and 31,454.11

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Solution

The fourth proportional to 51,586.13, 71,201.52 and 31,454.11 is: 43,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.13 : 71,201.52 = 31,454.11 : x
  2. Step 2: Convert to fraction form
    51,586.13/71,201.52 = 31,454.11/x
  3. Step 3: Cross multiply
    51,586.13x = 71,201.52 × 31,454.11
  4. Step 4: Simplify right side
    51,586.13x = 2,239,580,442.25
  5. Step 5: Solve for x
    x = 2,239,580,442.25/51,586.13
  6. Step 6: Final answer
    x = 43,414.39

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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.