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Finding the Fourth Proportional to 32,253.72, 48,376.92 and 11,189.88

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Solution

The fourth proportional to 32,253.72, 48,376.92 and 11,189.88 is: 16,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253.72 : 48,376.92 = 11,189.88 : x
  2. Step 2: Convert to fraction form
    32,253.72/48,376.92 = 11,189.88/x
  3. Step 3: Cross multiply
    32,253.72x = 48,376.92 × 11,189.88
  4. Step 4: Simplify right side
    32,253.72x = 541,331,929.57
  5. Step 5: Solve for x
    x = 541,331,929.57/32,253.72
  6. Step 6: Final answer
    x = 16,783.55

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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.