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Finding the Fourth Proportional to 105,046.68, 157,481.91 and 45,837.30

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Solution

The fourth proportional to 105,046.68, 157,481.91 and 45,837.30 is: 68,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046.68 : 157,481.91 = 45,837.30 : x
  2. Step 2: Convert to fraction form
    105,046.68/157,481.91 = 45,837.30/x
  3. Step 3: Cross multiply
    105,046.68x = 157,481.91 × 45,837.30
  4. Step 4: Simplify right side
    105,046.68x = 7,218,545,553.24
  5. Step 5: Solve for x
    x = 7,218,545,553.24/105,046.68
  6. Step 6: Final answer
    x = 68,717.50

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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.