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Finding the Fourth Proportional to 100,483.28, 150,723.37 and 33,970.13

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Solution

The fourth proportional to 100,483.28, 150,723.37 and 33,970.13 is: 50,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,483.28 : 150,723.37 = 33,970.13 : x
  2. Step 2: Convert to fraction form
    100,483.28/150,723.37 = 33,970.13/x
  3. Step 3: Cross multiply
    100,483.28x = 150,723.37 × 33,970.13
  4. Step 4: Simplify right side
    100,483.28x = 5,120,091,549.47
  5. Step 5: Solve for x
    x = 5,120,091,549.47/100,483.28
  6. Step 6: Final answer
    x = 50,954.66

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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.