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Finding the Fourth Proportional to 116,840.52, 175,286.70 and 54,477

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Solution

The fourth proportional to 116,840.52, 175,286.70 and 54,477 is: 81,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,840.52 : 175,286.70 = 54,477 : x
  2. Step 2: Convert to fraction form
    116,840.52/175,286.70 = 54,477/x
  3. Step 3: Cross multiply
    116,840.52x = 175,286.70 × 54,477
  4. Step 4: Simplify right side
    116,840.52x = 9,549,093,555.90
  5. Step 5: Solve for x
    x = 9,549,093,555.90/116,840.52
  6. Step 6: Final answer
    x = 81,727.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.