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Finding the Fourth Proportional to 49,243.92, 67,952.08 and 28,017.60

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Solution

The fourth proportional to 49,243.92, 67,952.08 and 28,017.60 is: 38,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,243.92 : 67,952.08 = 28,017.60 : x
  2. Step 2: Convert to fraction form
    49,243.92/67,952.08 = 28,017.60/x
  3. Step 3: Cross multiply
    49,243.92x = 67,952.08 × 28,017.60
  4. Step 4: Simplify right side
    49,243.92x = 1,903,854,196.61
  5. Step 5: Solve for x
    x = 1,903,854,196.61/49,243.92
  6. Step 6: Final answer
    x = 38,661.71

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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.