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Finding the Fourth Proportional to 75,082.08, 103,614 and 41,548

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Solution

The fourth proportional to 75,082.08, 103,614 and 41,548 is: 57,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.08 : 103,614 = 41,548 : x
  2. Step 2: Convert to fraction form
    75,082.08/103,614 = 41,548/x
  3. Step 3: Cross multiply
    75,082.08x = 103,614 × 41,548
  4. Step 4: Simplify right side
    75,082.08x = 4,304,954,472
  5. Step 5: Solve for x
    x = 4,304,954,472/75,082.08
  6. Step 6: Final answer
    x = 57,336.64

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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.