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Finding the Fourth Proportional to 106,584.73, 159,783.01 and 43,457.65

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Solution

The fourth proportional to 106,584.73, 159,783.01 and 43,457.65 is: 65,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584.73 : 159,783.01 = 43,457.65 : x
  2. Step 2: Convert to fraction form
    106,584.73/159,783.01 = 43,457.65/x
  3. Step 3: Cross multiply
    106,584.73x = 159,783.01 × 43,457.65
  4. Step 4: Simplify right side
    106,584.73x = 6,943,794,124.53
  5. Step 5: Solve for x
    x = 6,943,794,124.53/106,584.73
  6. Step 6: Final answer
    x = 65,148.11

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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.