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Finding the Fourth Proportional to 100,483.78, 150,724.12 and 33,970.63

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Solution

The fourth proportional to 100,483.78, 150,724.12 and 33,970.63 is: 50,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,483.78 : 150,724.12 = 33,970.63 : x
  2. Step 2: Convert to fraction form
    100,483.78/150,724.12 = 33,970.63/x
  3. Step 3: Cross multiply
    100,483.78x = 150,724.12 × 33,970.63
  4. Step 4: Simplify right side
    100,483.78x = 5,120,192,389.12
  5. Step 5: Solve for x
    x = 5,120,192,389.12/100,483.78
  6. Step 6: Final answer
    x = 50,955.41

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1.5x scale

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.