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Finding the Fourth Proportional to 106,486.82, 159,713.28 and 35,403.56

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Solution

The fourth proportional to 106,486.82, 159,713.28 and 35,403.56 is: 53,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,486.82 : 159,713.28 = 35,403.56 : x
  2. Step 2: Convert to fraction form
    106,486.82/159,713.28 = 35,403.56/x
  3. Step 3: Cross multiply
    106,486.82x = 159,713.28 × 35,403.56
  4. Step 4: Simplify right side
    106,486.82x = 5,654,417,892.71
  5. Step 5: Solve for x
    x = 5,654,417,892.71/106,486.82
  6. Step 6: Final answer
    x = 53,099.70

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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.