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Finding the Fourth Proportional to 100,312.67, 150,472.26 and 37,148.72

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Solution

The fourth proportional to 100,312.67, 150,472.26 and 37,148.72 is: 55,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,312.67 : 150,472.26 = 37,148.72 : x
  2. Step 2: Convert to fraction form
    100,312.67/150,472.26 = 37,148.72/x
  3. Step 3: Cross multiply
    100,312.67x = 150,472.26 × 37,148.72
  4. Step 4: Simplify right side
    100,312.67x = 5,589,851,102.15
  5. Step 5: Solve for x
    x = 5,589,851,102.15/100,312.67
  6. Step 6: Final answer
    x = 55,724.28

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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.