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Finding the Fourth Proportional to 54,231, 81,346.50 and 17,295

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Solution

The fourth proportional to 54,231, 81,346.50 and 17,295 is: 25,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231 : 81,346.50 = 17,295 : x
  2. Step 2: Convert to fraction form
    54,231/81,346.50 = 17,295/x
  3. Step 3: Cross multiply
    54,231x = 81,346.50 × 17,295
  4. Step 4: Simplify right side
    54,231x = 1,406,887,717.50
  5. Step 5: Solve for x
    x = 1,406,887,717.50/54,231
  6. Step 6: Final answer
    x = 25,942.50

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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.