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Finding the Fourth Proportional to 100,266.26, 150,392 and 37,056.90

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Solution

The fourth proportional to 100,266.26, 150,392 and 37,056.90 is: 55,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266.26 : 150,392 = 37,056.90 : x
  2. Step 2: Convert to fraction form
    100,266.26/150,392 = 37,056.90/x
  3. Step 3: Cross multiply
    100,266.26x = 150,392 × 37,056.90
  4. Step 4: Simplify right side
    100,266.26x = 5,573,061,304.80
  5. Step 5: Solve for x
    x = 5,573,061,304.80/100,266.26
  6. Step 6: Final answer
    x = 55,582.62

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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.