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Finding the Fourth Proportional to 49,882, 68,837.16 and 27,526

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Solution

The fourth proportional to 49,882, 68,837.16 and 27,526 is: 37,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882 : 68,837.16 = 27,526 : x
  2. Step 2: Convert to fraction form
    49,882/68,837.16 = 27,526/x
  3. Step 3: Cross multiply
    49,882x = 68,837.16 × 27,526
  4. Step 4: Simplify right side
    49,882x = 1,894,811,666.16
  5. Step 5: Solve for x
    x = 1,894,811,666.16/49,882
  6. Step 6: Final answer
    x = 37,985.88

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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.