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Finding the Fourth Proportional to 49,156, 67,835.20 and 27,935.28

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Solution

The fourth proportional to 49,156, 67,835.20 and 27,935.28 is: 38,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156 : 67,835.20 = 27,935.28 : x
  2. Step 2: Convert to fraction form
    49,156/67,835.20 = 27,935.28/x
  3. Step 3: Cross multiply
    49,156x = 67,835.20 × 27,935.28
  4. Step 4: Simplify right side
    49,156x = 1,894,995,305.86
  5. Step 5: Solve for x
    x = 1,894,995,305.86/49,156
  6. Step 6: Final answer
    x = 38,550.64

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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.