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Finding the Fourth Proportional to 100,296, 150,451.29 and 37,966.50

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Solution

The fourth proportional to 100,296, 150,451.29 and 37,966.50 is: 56,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296 : 150,451.29 = 37,966.50 : x
  2. Step 2: Convert to fraction form
    100,296/150,451.29 = 37,966.50/x
  3. Step 3: Cross multiply
    100,296x = 150,451.29 × 37,966.50
  4. Step 4: Simplify right side
    100,296x = 5,712,108,901.79
  5. Step 5: Solve for x
    x = 5,712,108,901.79/100,296
  6. Step 6: Final answer
    x = 56,952.51

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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.