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Finding the Fourth Proportional to 100,593.12, 150,905.34 and 30,455.76

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Solution

The fourth proportional to 100,593.12, 150,905.34 and 30,455.76 is: 45,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.12 : 150,905.34 = 30,455.76 : x
  2. Step 2: Convert to fraction form
    100,593.12/150,905.34 = 30,455.76/x
  3. Step 3: Cross multiply
    100,593.12x = 150,905.34 × 30,455.76
  4. Step 4: Simplify right side
    100,593.12x = 4,595,936,817.76
  5. Step 5: Solve for x
    x = 4,595,936,817.76/100,593.12
  6. Step 6: Final answer
    x = 45,688.38

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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.