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Finding the Fourth Proportional to 51,159.76, 76,750.56 and 24,879.31

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Solution

The fourth proportional to 51,159.76, 76,750.56 and 24,879.31 is: 37,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,159.76 : 76,750.56 = 24,879.31 : x
  2. Step 2: Convert to fraction form
    51,159.76/76,750.56 = 24,879.31/x
  3. Step 3: Cross multiply
    51,159.76x = 76,750.56 × 24,879.31
  4. Step 4: Simplify right side
    51,159.76x = 1,909,500,974.91
  5. Step 5: Solve for x
    x = 1,909,500,974.91/51,159.76
  6. Step 6: Final answer
    x = 37,324.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.