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Finding the Fourth Proportional to 49,720, 68,614.68 and 27,364

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Solution

The fourth proportional to 49,720, 68,614.68 and 27,364 is: 37,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 68,614.68 = 27,364 : x
  2. Step 2: Convert to fraction form
    49,720/68,614.68 = 27,364/x
  3. Step 3: Cross multiply
    49,720x = 68,614.68 × 27,364
  4. Step 4: Simplify right side
    49,720x = 1,877,572,103.52
  5. Step 5: Solve for x
    x = 1,877,572,103.52/49,720
  6. Step 6: Final answer
    x = 37,762.91

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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.