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Finding the Fourth Proportional to 52,451.74, 78,621.60 and 20,818

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Solution

The fourth proportional to 52,451.74, 78,621.60 and 20,818 is: 31,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.74 : 78,621.60 = 20,818 : x
  2. Step 2: Convert to fraction form
    52,451.74/78,621.60 = 20,818/x
  3. Step 3: Cross multiply
    52,451.74x = 78,621.60 × 20,818
  4. Step 4: Simplify right side
    52,451.74x = 1,636,744,468.80
  5. Step 5: Solve for x
    x = 1,636,744,468.80/52,451.74
  6. Step 6: Final answer
    x = 31,204.77

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