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Finding the Fourth Proportional to 49,168.86, 67,852.87 and 27,952.21

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Solution

The fourth proportional to 49,168.86, 67,852.87 and 27,952.21 is: 38,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,168.86 : 67,852.87 = 27,952.21 : x
  2. Step 2: Convert to fraction form
    49,168.86/67,852.87 = 27,952.21/x
  3. Step 3: Cross multiply
    49,168.86x = 67,852.87 × 27,952.21
  4. Step 4: Simplify right side
    49,168.86x = 1,896,637,671.34
  5. Step 5: Solve for x
    x = 1,896,637,671.34/49,168.86
  6. Step 6: Final answer
    x = 38,573.96

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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.