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Finding the Fourth Proportional to 30,650.19, 42,298.11 and 21,578.44

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Solution

The fourth proportional to 30,650.19, 42,298.11 and 21,578.44 is: 29,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.19 : 42,298.11 = 21,578.44 : x
  2. Step 2: Convert to fraction form
    30,650.19/42,298.11 = 21,578.44/x
  3. Step 3: Cross multiply
    30,650.19x = 42,298.11 × 21,578.44
  4. Step 4: Simplify right side
    30,650.19x = 912,727,228.75
  5. Step 5: Solve for x
    x = 912,727,228.75/30,650.19
  6. Step 6: Final answer
    x = 29,778.84

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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.