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Finding the Fourth Proportional to 49,048.41, 67,684.77 and 27,827.22

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Solution

The fourth proportional to 49,048.41, 67,684.77 and 27,827.22 is: 38,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,048.41 : 67,684.77 = 27,827.22 : x
  2. Step 2: Convert to fraction form
    49,048.41/67,684.77 = 27,827.22/x
  3. Step 3: Cross multiply
    49,048.41x = 67,684.77 × 27,827.22
  4. Step 4: Simplify right side
    49,048.41x = 1,883,478,985.44
  5. Step 5: Solve for x
    x = 1,883,478,985.44/49,048.41
  6. Step 6: Final answer
    x = 38,400.41

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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.