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Finding the Fourth Proportional to 54,486, 81,729 and 17,550

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Solution

The fourth proportional to 54,486, 81,729 and 17,550 is: 26,325

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,486 : 81,729 = 17,550 : x
  2. Step 2: Convert to fraction form
    54,486/81,729 = 17,550/x
  3. Step 3: Cross multiply
    54,486x = 81,729 × 17,550
  4. Step 4: Simplify right side
    54,486x = 1,434,343,950
  5. Step 5: Solve for x
    x = 1,434,343,950/54,486
  6. Step 6: Final answer
    x = 26,325

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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.