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Finding the Fourth Proportional to 48,873.68, 73,295.16 and 16,034

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Solution

The fourth proportional to 48,873.68, 73,295.16 and 16,034 is: 24,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,873.68 : 73,295.16 = 16,034 : x
  2. Step 2: Convert to fraction form
    48,873.68/73,295.16 = 16,034/x
  3. Step 3: Cross multiply
    48,873.68x = 73,295.16 × 16,034
  4. Step 4: Simplify right side
    48,873.68x = 1,175,214,595.44
  5. Step 5: Solve for x
    x = 1,175,214,595.44/48,873.68
  6. Step 6: Final answer
    x = 24,045.96

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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.