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Finding the Fourth Proportional to 32,521.97, 48,784.37 and 11,189.37

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Solution

The fourth proportional to 32,521.97, 48,784.37 and 11,189.37 is: 16,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.97 : 48,784.37 = 11,189.37 : x
  2. Step 2: Convert to fraction form
    32,521.97/48,784.37 = 11,189.37/x
  3. Step 3: Cross multiply
    32,521.97x = 48,784.37 × 11,189.37
  4. Step 4: Simplify right side
    32,521.97x = 545,866,310.20
  5. Step 5: Solve for x
    x = 545,866,310.20/32,521.97
  6. Step 6: Final answer
    x = 16,784.54

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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.