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Finding the Fourth Proportional to 116,601.64, 174,865.14 and 50,023.84

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Solution

The fourth proportional to 116,601.64, 174,865.14 and 50,023.84 is: 75,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,601.64 : 174,865.14 = 50,023.84 : x
  2. Step 2: Convert to fraction form
    116,601.64/174,865.14 = 50,023.84/x
  3. Step 3: Cross multiply
    116,601.64x = 174,865.14 × 50,023.84
  4. Step 4: Simplify right side
    116,601.64x = 8,747,425,784.94
  5. Step 5: Solve for x
    x = 8,747,425,784.94/116,601.64
  6. Step 6: Final answer
    x = 75,019.75

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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.