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Finding the Fourth Proportional to 89,476.62, 123,475.26 and 49,190.40

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Solution

The fourth proportional to 89,476.62, 123,475.26 and 49,190.40 is: 67,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,476.62 : 123,475.26 = 49,190.40 : x
  2. Step 2: Convert to fraction form
    89,476.62/123,475.26 = 49,190.40/x
  3. Step 3: Cross multiply
    89,476.62x = 123,475.26 × 49,190.40
  4. Step 4: Simplify right side
    89,476.62x = 6,073,797,429.50
  5. Step 5: Solve for x
    x = 6,073,797,429.50/89,476.62
  6. Step 6: Final answer
    x = 67,881.39

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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.