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Finding the Fourth Proportional to 54,467, 81,700.50 and 17,531

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Solution

The fourth proportional to 54,467, 81,700.50 and 17,531 is: 26,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,467 : 81,700.50 = 17,531 : x
  2. Step 2: Convert to fraction form
    54,467/81,700.50 = 17,531/x
  3. Step 3: Cross multiply
    54,467x = 81,700.50 × 17,531
  4. Step 4: Simplify right side
    54,467x = 1,432,291,465.50
  5. Step 5: Solve for x
    x = 1,432,291,465.50/54,467
  6. Step 6: Final answer
    x = 26,296.50

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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.