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Finding the Fourth Proportional to 106,529.84, 159,855.81 and 43,338.29

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Solution

The fourth proportional to 106,529.84, 159,855.81 and 43,338.29 is: 65,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,529.84 : 159,855.81 = 43,338.29 : x
  2. Step 2: Convert to fraction form
    106,529.84/159,855.81 = 43,338.29/x
  3. Step 3: Cross multiply
    106,529.84x = 159,855.81 × 43,338.29
  4. Step 4: Simplify right side
    106,529.84x = 6,927,877,235.27
  5. Step 5: Solve for x
    x = 6,927,877,235.27/106,529.84
  6. Step 6: Final answer
    x = 65,032.27

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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.