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Finding the Fourth Proportional to 30,259, 41,757.42 and 17,011

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Solution

The fourth proportional to 30,259, 41,757.42 and 17,011 is: 23,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259 : 41,757.42 = 17,011 : x
  2. Step 2: Convert to fraction form
    30,259/41,757.42 = 17,011/x
  3. Step 3: Cross multiply
    30,259x = 41,757.42 × 17,011
  4. Step 4: Simplify right side
    30,259x = 710,335,471.62
  5. Step 5: Solve for x
    x = 710,335,471.62/30,259
  6. Step 6: Final answer
    x = 23,475.18

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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.