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Finding the Fourth Proportional to 106,674.81, 159,918.22 and 43,547.97

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Solution

The fourth proportional to 106,674.81, 159,918.22 and 43,547.97 is: 65,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674.81 : 159,918.22 = 43,547.97 : x
  2. Step 2: Convert to fraction form
    106,674.81/159,918.22 = 43,547.97/x
  3. Step 3: Cross multiply
    106,674.81x = 159,918.22 × 43,547.97
  4. Step 4: Simplify right side
    106,674.81x = 6,964,113,847.01
  5. Step 5: Solve for x
    x = 6,964,113,847.01/106,674.81
  6. Step 6: Final answer
    x = 65,283.58

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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.