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Finding the Fourth Proportional to 75,500.70, 104,191.67 and 41,509.43

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Solution

The fourth proportional to 75,500.70, 104,191.67 and 41,509.43 is: 57,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,500.70 : 104,191.67 = 41,509.43 : x
  2. Step 2: Convert to fraction form
    75,500.70/104,191.67 = 41,509.43/x
  3. Step 3: Cross multiply
    75,500.70x = 104,191.67 × 41,509.43
  4. Step 4: Simplify right side
    75,500.70x = 4,324,936,832.45
  5. Step 5: Solve for x
    x = 4,324,936,832.45/75,500.70
  6. Step 6: Final answer
    x = 57,283.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.