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Finding the Fourth Proportional to 54,492, 81,757.68 and 26,809.44

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Solution

The fourth proportional to 54,492, 81,757.68 and 26,809.44 is: 40,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492 : 81,757.68 = 26,809.44 : x
  2. Step 2: Convert to fraction form
    54,492/81,757.68 = 26,809.44/x
  3. Step 3: Cross multiply
    54,492x = 81,757.68 × 26,809.44
  4. Step 4: Simplify right side
    54,492x = 2,191,877,616.50
  5. Step 5: Solve for x
    x = 2,191,877,616.50/54,492
  6. Step 6: Final answer
    x = 40,223.84

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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.