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Finding the Fourth Proportional to 49,632, 68,492.16 and 27,276

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Solution

The fourth proportional to 49,632, 68,492.16 and 27,276 is: 37,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632 : 68,492.16 = 27,276 : x
  2. Step 2: Convert to fraction form
    49,632/68,492.16 = 27,276/x
  3. Step 3: Cross multiply
    49,632x = 68,492.16 × 27,276
  4. Step 4: Simplify right side
    49,632x = 1,868,192,156.16
  5. Step 5: Solve for x
    x = 1,868,192,156.16/49,632
  6. Step 6: Final answer
    x = 37,640.88

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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.