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Finding the Fourth Proportional to 100,476, 150,714 and 41,343.84

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Solution

The fourth proportional to 100,476, 150,714 and 41,343.84 is: 62,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,476 : 150,714 = 41,343.84 : x
  2. Step 2: Convert to fraction form
    100,476/150,714 = 41,343.84/x
  3. Step 3: Cross multiply
    100,476x = 150,714 × 41,343.84
  4. Step 4: Simplify right side
    100,476x = 6,231,095,501.76
  5. Step 5: Solve for x
    x = 6,231,095,501.76/100,476
  6. Step 6: Final answer
    x = 62,015.76

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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.