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Finding the Fourth Proportional to 30,098.21, 41,578.76 and 24,040.49

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Solution

The fourth proportional to 30,098.21, 41,578.76 and 24,040.49 is: 33,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.21 : 41,578.76 = 24,040.49 : x
  2. Step 2: Convert to fraction form
    30,098.21/41,578.76 = 24,040.49/x
  3. Step 3: Cross multiply
    30,098.21x = 41,578.76 × 24,040.49
  4. Step 4: Simplify right side
    30,098.21x = 999,573,616.20
  5. Step 5: Solve for x
    x = 999,573,616.20/30,098.21
  6. Step 6: Final answer
    x = 33,210.41

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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.