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Finding the Fourth Proportional to 116,073.72, 174,064.14 and 49,543.56

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Solution

The fourth proportional to 116,073.72, 174,064.14 and 49,543.56 is: 74,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,073.72 : 174,064.14 = 49,543.56 : x
  2. Step 2: Convert to fraction form
    116,073.72/174,064.14 = 49,543.56/x
  3. Step 3: Cross multiply
    116,073.72x = 174,064.14 × 49,543.56
  4. Step 4: Simplify right side
    116,073.72x = 8,623,757,163.94
  5. Step 5: Solve for x
    x = 8,623,757,163.94/116,073.72
  6. Step 6: Final answer
    x = 74,295.52

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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.