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Finding the Fourth Proportional to 30,282, 41,794.92 and 17,034

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Solution

The fourth proportional to 30,282, 41,794.92 and 17,034 is: 23,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282 : 41,794.92 = 17,034 : x
  2. Step 2: Convert to fraction form
    30,282/41,794.92 = 17,034/x
  3. Step 3: Cross multiply
    30,282x = 41,794.92 × 17,034
  4. Step 4: Simplify right side
    30,282x = 711,934,667.28
  5. Step 5: Solve for x
    x = 711,934,667.28/30,282
  6. Step 6: Final answer
    x = 23,510.16

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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.