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Finding the Fourth Proportional to 30,919.86, 42,672 and 17,493.51

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Solution

The fourth proportional to 30,919.86, 42,672 and 17,493.51 is: 24,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.86 : 42,672 = 17,493.51 : x
  2. Step 2: Convert to fraction form
    30,919.86/42,672 = 17,493.51/x
  3. Step 3: Cross multiply
    30,919.86x = 42,672 × 17,493.51
  4. Step 4: Simplify right side
    30,919.86x = 746,483,058.72
  5. Step 5: Solve for x
    x = 746,483,058.72/30,919.86
  6. Step 6: Final answer
    x = 24,142.51

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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.