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Finding the Fourth Proportional to 32,253.70, 48,376.92 and 11,189.86

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Solution

The fourth proportional to 32,253.70, 48,376.92 and 11,189.86 is: 16,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253.70 : 48,376.92 = 11,189.86 : x
  2. Step 2: Convert to fraction form
    32,253.70/48,376.92 = 11,189.86/x
  3. Step 3: Cross multiply
    32,253.70x = 48,376.92 × 11,189.86
  4. Step 4: Simplify right side
    32,253.70x = 541,330,962.03
  5. Step 5: Solve for x
    x = 541,330,962.03/32,253.70
  6. Step 6: Final answer
    x = 16,783.53

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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.