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Finding the Fourth Proportional to 30,432, 41,994.54 and 17,003.82

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Solution

The fourth proportional to 30,432, 41,994.54 and 17,003.82 is: 23,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432 : 41,994.54 = 17,003.82 : x
  2. Step 2: Convert to fraction form
    30,432/41,994.54 = 17,003.82/x
  3. Step 3: Cross multiply
    30,432x = 41,994.54 × 17,003.82
  4. Step 4: Simplify right side
    30,432x = 714,067,599.14
  5. Step 5: Solve for x
    x = 714,067,599.14/30,432
  6. Step 6: Final answer
    x = 23,464.37

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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.