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Finding the Fourth Proportional to 101,996.99, 152,953.95 and 45,822

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Solution

The fourth proportional to 101,996.99, 152,953.95 and 45,822 is: 68,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996.99 : 152,953.95 = 45,822 : x
  2. Step 2: Convert to fraction form
    101,996.99/152,953.95 = 45,822/x
  3. Step 3: Cross multiply
    101,996.99x = 152,953.95 × 45,822
  4. Step 4: Simplify right side
    101,996.99x = 7,008,655,896.90
  5. Step 5: Solve for x
    x = 7,008,655,896.90/101,996.99
  6. Step 6: Final answer
    x = 68,714.34

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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.