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Finding the Fourth Proportional to 30,819.88, 42,574.98 and 24,524.20

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Solution

The fourth proportional to 30,819.88, 42,574.98 and 24,524.20 is: 33,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.88 : 42,574.98 = 24,524.20 : x
  2. Step 2: Convert to fraction form
    30,819.88/42,574.98 = 24,524.20/x
  3. Step 3: Cross multiply
    30,819.88x = 42,574.98 × 24,524.20
  4. Step 4: Simplify right side
    30,819.88x = 1,044,117,324.52
  5. Step 5: Solve for x
    x = 1,044,117,324.52/30,819.88
  6. Step 6: Final answer
    x = 33,878.05

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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.