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Finding the Fourth Proportional to 106,053.68, 159,080.52 and 43,722.56

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Solution

The fourth proportional to 106,053.68, 159,080.52 and 43,722.56 is: 65,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.68 : 159,080.52 = 43,722.56 : x
  2. Step 2: Convert to fraction form
    106,053.68/159,080.52 = 43,722.56/x
  3. Step 3: Cross multiply
    106,053.68x = 159,080.52 × 43,722.56
  4. Step 4: Simplify right side
    106,053.68x = 6,955,407,580.53
  5. Step 5: Solve for x
    x = 6,955,407,580.53/106,053.68
  6. Step 6: Final answer
    x = 65,583.84

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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.