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Finding the Fourth Proportional to 41,809.68, 57,724.38 and 25,911

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Solution

The fourth proportional to 41,809.68, 57,724.38 and 25,911 is: 35,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,809.68 : 57,724.38 = 25,911 : x
  2. Step 2: Convert to fraction form
    41,809.68/57,724.38 = 25,911/x
  3. Step 3: Cross multiply
    41,809.68x = 57,724.38 × 25,911
  4. Step 4: Simplify right side
    41,809.68x = 1,495,696,410.18
  5. Step 5: Solve for x
    x = 1,495,696,410.18/41,809.68
  6. Step 6: Final answer
    x = 35,773.93

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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.