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Finding the Fourth Proportional to 30,274.56, 41,774.08 and 17,024

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Solution

The fourth proportional to 30,274.56, 41,774.08 and 17,024 is: 23,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.56 : 41,774.08 = 17,024 : x
  2. Step 2: Convert to fraction form
    30,274.56/41,774.08 = 17,024/x
  3. Step 3: Cross multiply
    30,274.56x = 41,774.08 × 17,024
  4. Step 4: Simplify right side
    30,274.56x = 711,161,937.92
  5. Step 5: Solve for x
    x = 711,161,937.92/30,274.56
  6. Step 6: Final answer
    x = 23,490.41

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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.