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Finding the Fourth Proportional to 129,041, 193,561.52 and 35,546.76

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Solution

The fourth proportional to 129,041, 193,561.52 and 35,546.76 is: 53,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,041 : 193,561.52 = 35,546.76 : x
  2. Step 2: Convert to fraction form
    129,041/193,561.52 = 35,546.76/x
  3. Step 3: Cross multiply
    129,041x = 193,561.52 × 35,546.76
  4. Step 4: Simplify right side
    129,041x = 6,880,484,896.68
  5. Step 5: Solve for x
    x = 6,880,484,896.68/129,041
  6. Step 6: Final answer
    x = 53,320.15

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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.