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Finding the Fourth Proportional to 105,523.70, 158,270.90 and 26,633.21

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Solution

The fourth proportional to 105,523.70, 158,270.90 and 26,633.21 is: 39,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,523.70 : 158,270.90 = 26,633.21 : x
  2. Step 2: Convert to fraction form
    105,523.70/158,270.90 = 26,633.21/x
  3. Step 3: Cross multiply
    105,523.70x = 158,270.90 × 26,633.21
  4. Step 4: Simplify right side
    105,523.70x = 4,215,261,192.07
  5. Step 5: Solve for x
    x = 4,215,261,192.07/105,523.70
  6. Step 6: Final answer
    x = 39,946.11

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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.