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Finding the Fourth Proportional to 77,891.84, 116,837.70 and 18,727.49

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Solution

The fourth proportional to 77,891.84, 116,837.70 and 18,727.49 is: 28,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,891.84 : 116,837.70 = 18,727.49 : x
  2. Step 2: Convert to fraction form
    77,891.84/116,837.70 = 18,727.49/x
  3. Step 3: Cross multiply
    77,891.84x = 116,837.70 × 18,727.49
  4. Step 4: Simplify right side
    77,891.84x = 2,188,076,274.18
  5. Step 5: Solve for x
    x = 2,188,076,274.18/77,891.84
  6. Step 6: Final answer
    x = 28,091.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.