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Finding the Fourth Proportional to 32,469.00, 48,710.80 and 11,410.49

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Solution

The fourth proportional to 32,469.00, 48,710.80 and 11,410.49 is: 17,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.00 : 48,710.80 = 11,410.49 : x
  2. Step 2: Convert to fraction form
    32,469.00/48,710.80 = 11,410.49/x
  3. Step 3: Cross multiply
    32,469.00x = 48,710.80 × 11,410.49
  4. Step 4: Simplify right side
    32,469.00x = 555,814,232.33
  5. Step 5: Solve for x
    x = 555,814,232.33/32,469.00
  6. Step 6: Final answer
    x = 17,118.31

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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.