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Finding the Fourth Proportional to 75,108, 103,651.20 and 41,576.16

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Solution

The fourth proportional to 75,108, 103,651.20 and 41,576.16 is: 57,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108 : 103,651.20 = 41,576.16 : x
  2. Step 2: Convert to fraction form
    75,108/103,651.20 = 41,576.16/x
  3. Step 3: Cross multiply
    75,108x = 103,651.20 × 41,576.16
  4. Step 4: Simplify right side
    75,108x = 4,309,418,875.39
  5. Step 5: Solve for x
    x = 4,309,418,875.39/75,108
  6. Step 6: Final answer
    x = 57,376.30

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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.