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Finding the Fourth Proportional to 32,630.68, 48,953.22 and 11,854

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Solution

The fourth proportional to 32,630.68, 48,953.22 and 11,854 is: 17,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,630.68 : 48,953.22 = 11,854 : x
  2. Step 2: Convert to fraction form
    32,630.68/48,953.22 = 11,854/x
  3. Step 3: Cross multiply
    32,630.68x = 48,953.22 × 11,854
  4. Step 4: Simplify right side
    32,630.68x = 580,291,469.88
  5. Step 5: Solve for x
    x = 580,291,469.88/32,630.68
  6. Step 6: Final answer
    x = 17,783.62

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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.