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Finding the Fourth Proportional to 106,129.98, 159,161.18 and 35,039.39

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Solution

The fourth proportional to 106,129.98, 159,161.18 and 35,039.39 is: 52,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129.98 : 159,161.18 = 35,039.39 : x
  2. Step 2: Convert to fraction form
    106,129.98/159,161.18 = 35,039.39/x
  3. Step 3: Cross multiply
    106,129.98x = 159,161.18 × 35,039.39
  4. Step 4: Simplify right side
    106,129.98x = 5,576,909,687.88
  5. Step 5: Solve for x
    x = 5,576,909,687.88/106,129.98
  6. Step 6: Final answer
    x = 52,547.92

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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.