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Finding the Fourth Proportional to 30,175.39, 41,642.99 and 17,428.34

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Solution

The fourth proportional to 30,175.39, 41,642.99 and 17,428.34 is: 24,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.39 : 41,642.99 = 17,428.34 : x
  2. Step 2: Convert to fraction form
    30,175.39/41,642.99 = 17,428.34/x
  3. Step 3: Cross multiply
    30,175.39x = 41,642.99 × 17,428.34
  4. Step 4: Simplify right side
    30,175.39x = 725,767,892.98
  5. Step 5: Solve for x
    x = 725,767,892.98/30,175.39
  6. Step 6: Final answer
    x = 24,051.65

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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.