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Finding the Fourth Proportional to 75,912.68, 104,790.40 and 49,057.40

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Solution

The fourth proportional to 75,912.68, 104,790.40 and 49,057.40 is: 67,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912.68 : 104,790.40 = 49,057.40 : x
  2. Step 2: Convert to fraction form
    75,912.68/104,790.40 = 49,057.40/x
  3. Step 3: Cross multiply
    75,912.68x = 104,790.40 × 49,057.40
  4. Step 4: Simplify right side
    75,912.68x = 5,140,744,568.96
  5. Step 5: Solve for x
    x = 5,140,744,568.96/75,912.68
  6. Step 6: Final answer
    x = 67,719.18

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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.