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Finding the Fourth Proportional to 116,122.73, 174,184.37 and 31,884.05

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Solution

The fourth proportional to 116,122.73, 174,184.37 and 31,884.05 is: 47,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122.73 : 174,184.37 = 31,884.05 : x
  2. Step 2: Convert to fraction form
    116,122.73/174,184.37 = 31,884.05/x
  3. Step 3: Cross multiply
    116,122.73x = 174,184.37 × 31,884.05
  4. Step 4: Simplify right side
    116,122.73x = 5,553,703,162.30
  5. Step 5: Solve for x
    x = 5,553,703,162.30/116,122.73
  6. Step 6: Final answer
    x = 47,826.15

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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.