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Finding the Fourth Proportional to 49,492.98, 68,301.91 and 27,983.36

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Solution

The fourth proportional to 49,492.98, 68,301.91 and 27,983.36 is: 38,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492.98 : 68,301.91 = 27,983.36 : x
  2. Step 2: Convert to fraction form
    49,492.98/68,301.91 = 27,983.36/x
  3. Step 3: Cross multiply
    49,492.98x = 68,301.91 × 27,983.36
  4. Step 4: Simplify right side
    49,492.98x = 1,911,316,936.22
  5. Step 5: Solve for x
    x = 1,911,316,936.22/49,492.98
  6. Step 6: Final answer
    x = 38,617.94

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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.