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Finding the Fourth Proportional to 100,214.76, 150,325.80 and 33,657.08

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Solution

The fourth proportional to 100,214.76, 150,325.80 and 33,657.08 is: 50,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.76 : 150,325.80 = 33,657.08 : x
  2. Step 2: Convert to fraction form
    100,214.76/150,325.80 = 33,657.08/x
  3. Step 3: Cross multiply
    100,214.76x = 150,325.80 × 33,657.08
  4. Step 4: Simplify right side
    100,214.76x = 5,059,527,476.66
  5. Step 5: Solve for x
    x = 5,059,527,476.66/100,214.76
  6. Step 6: Final answer
    x = 50,486.85

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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.