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Finding the Fourth Proportional to 100,548.64, 150,822.96 and 41,342.80

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Solution

The fourth proportional to 100,548.64, 150,822.96 and 41,342.80 is: 62,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.64 : 150,822.96 = 41,342.80 : x
  2. Step 2: Convert to fraction form
    100,548.64/150,822.96 = 41,342.80/x
  3. Step 3: Cross multiply
    100,548.64x = 150,822.96 × 41,342.80
  4. Step 4: Simplify right side
    100,548.64x = 6,235,443,470.69
  5. Step 5: Solve for x
    x = 6,235,443,470.69/100,548.64
  6. Step 6: Final answer
    x = 62,014.20

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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.