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Finding the Fourth Proportional to 30,282.50, 41,789.86 and 17,034.50

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Solution

The fourth proportional to 30,282.50, 41,789.86 and 17,034.50 is: 23,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.50 : 41,789.86 = 17,034.50 : x
  2. Step 2: Convert to fraction form
    30,282.50/41,789.86 = 17,034.50/x
  3. Step 3: Cross multiply
    30,282.50x = 41,789.86 × 17,034.50
  4. Step 4: Simplify right side
    30,282.50x = 711,869,370.17
  5. Step 5: Solve for x
    x = 711,869,370.17/30,282.50
  6. Step 6: Final answer
    x = 23,507.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.