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Finding the Fourth Proportional to 49,163.99, 67,852.14 and 27,946.45

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Solution

The fourth proportional to 49,163.99, 67,852.14 and 27,946.45 is: 38,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.99 : 67,852.14 = 27,946.45 : x
  2. Step 2: Convert to fraction form
    49,163.99/67,852.14 = 27,946.45/x
  3. Step 3: Cross multiply
    49,163.99x = 67,852.14 × 27,946.45
  4. Step 4: Simplify right side
    49,163.99x = 1,896,226,268.27
  5. Step 5: Solve for x
    x = 1,896,226,268.27/49,163.99
  6. Step 6: Final answer
    x = 38,569.41

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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.