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Finding the Fourth Proportional to 102,571.70, 153,926.28 and 36,012.05

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Solution

The fourth proportional to 102,571.70, 153,926.28 and 36,012.05 is: 54,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.70 : 153,926.28 = 36,012.05 : x
  2. Step 2: Convert to fraction form
    102,571.70/153,926.28 = 36,012.05/x
  3. Step 3: Cross multiply
    102,571.70x = 153,926.28 × 36,012.05
  4. Step 4: Simplify right side
    102,571.70x = 5,543,200,122.04
  5. Step 5: Solve for x
    x = 5,543,200,122.04/102,571.70
  6. Step 6: Final answer
    x = 54,042.20

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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.