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Finding the Fourth Proportional to 32,578.94, 48,819.20 and 24,219.74

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Solution

The fourth proportional to 32,578.94, 48,819.20 and 24,219.74 is: 36,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.94 : 48,819.20 = 24,219.74 : x
  2. Step 2: Convert to fraction form
    32,578.94/48,819.20 = 24,219.74/x
  3. Step 3: Cross multiply
    32,578.94x = 48,819.20 × 24,219.74
  4. Step 4: Simplify right side
    32,578.94x = 1,182,388,331.01
  5. Step 5: Solve for x
    x = 1,182,388,331.01/32,578.94
  6. Step 6: Final answer
    x = 36,293.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.