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Finding the Fourth Proportional to 84,469.60, 116,549.45 and 50,473

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Solution

The fourth proportional to 84,469.60, 116,549.45 and 50,473 is: 69,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,469.60 : 116,549.45 = 50,473 : x
  2. Step 2: Convert to fraction form
    84,469.60/116,549.45 = 50,473/x
  3. Step 3: Cross multiply
    84,469.60x = 116,549.45 × 50,473
  4. Step 4: Simplify right side
    84,469.60x = 5,882,600,137.49
  5. Step 5: Solve for x
    x = 5,882,600,137.49/84,469.60
  6. Step 6: Final answer
    x = 69,641.62

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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.