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Finding the Fourth Proportional to 80,241.36, 110,714.76 and 51,576

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Solution

The fourth proportional to 80,241.36, 110,714.76 and 51,576 is: 71,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,241.36 : 110,714.76 = 51,576 : x
  2. Step 2: Convert to fraction form
    80,241.36/110,714.76 = 51,576/x
  3. Step 3: Cross multiply
    80,241.36x = 110,714.76 × 51,576
  4. Step 4: Simplify right side
    80,241.36x = 5,710,224,461.76
  5. Step 5: Solve for x
    x = 5,710,224,461.76/80,241.36
  6. Step 6: Final answer
    x = 71,163.11

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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.