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Finding the Fourth Proportional to 54,588, 81,882 and 17,652

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Solution

The fourth proportional to 54,588, 81,882 and 17,652 is: 26,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588 : 81,882 = 17,652 : x
  2. Step 2: Convert to fraction form
    54,588/81,882 = 17,652/x
  3. Step 3: Cross multiply
    54,588x = 81,882 × 17,652
  4. Step 4: Simplify right side
    54,588x = 1,445,381,064
  5. Step 5: Solve for x
    x = 1,445,381,064/54,588
  6. Step 6: Final answer
    x = 26,478

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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.