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Finding the Fourth Proportional to 30,495.96, 42,084 and 17,067.24

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Solution

The fourth proportional to 30,495.96, 42,084 and 17,067.24 is: 23,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.96 : 42,084 = 17,067.24 : x
  2. Step 2: Convert to fraction form
    30,495.96/42,084 = 17,067.24/x
  3. Step 3: Cross multiply
    30,495.96x = 42,084 × 17,067.24
  4. Step 4: Simplify right side
    30,495.96x = 718,257,728.16
  5. Step 5: Solve for x
    x = 718,257,728.16/30,495.96
  6. Step 6: Final answer
    x = 23,552.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.