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Finding the Fourth Proportional to 106,523.46, 159,784.74 and 43,342.62

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Solution

The fourth proportional to 106,523.46, 159,784.74 and 43,342.62 is: 65,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,523.46 : 159,784.74 = 43,342.62 : x
  2. Step 2: Convert to fraction form
    106,523.46/159,784.74 = 43,342.62/x
  3. Step 3: Cross multiply
    106,523.46x = 159,784.74 × 43,342.62
  4. Step 4: Simplify right side
    106,523.46x = 6,925,489,267.62
  5. Step 5: Solve for x
    x = 6,925,489,267.62/106,523.46
  6. Step 6: Final answer
    x = 65,013.75

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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.