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Finding the Fourth Proportional to 30,824.88, 42,581.88 and 24,529.20

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Solution

The fourth proportional to 30,824.88, 42,581.88 and 24,529.20 is: 33,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.88 : 42,581.88 = 24,529.20 : x
  2. Step 2: Convert to fraction form
    30,824.88/42,581.88 = 24,529.20/x
  3. Step 3: Cross multiply
    30,824.88x = 42,581.88 × 24,529.20
  4. Step 4: Simplify right side
    30,824.88x = 1,044,499,450.90
  5. Step 5: Solve for x
    x = 1,044,499,450.90/30,824.88
  6. Step 6: Final answer
    x = 33,884.95

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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.